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135258294040 = 2356143550457
BaseRepresentation
bin111110111111000000…
…1011100011100011000
3110221010101100020222221
41331332001130130120
54204002110402130
6142045314353424
712525553346452
oct1757601343430
9427111306887
10135258294040
11523a9865291
122226988b874
13c9a73bb01c
1467919a52d2
1537b97db87a
hex1f7e05c718

135258294040 has 32 divisors (see below), whose sum is σ = 304381255680. Its totient is φ = 54094412032.

The previous prime is 135258294023. The next prime is 135258294047. The reversal of 135258294040 is 40492852531.

135258294040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1352582940402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135258294047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29509 + ... + 520948.

It is an arithmetic number, because the mean of its divisors is an integer number (9511914240).

Almost surely, 2135258294040 is an apocalyptic number.

135258294040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135258294040 is an abundant number, since it is smaller than the sum of its proper divisors (169122961640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135258294040 is a wasteful number, since it uses less digits than its factorization.

135258294040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556611 (or 556607 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 135258294040 in words is "one hundred thirty-five billion, two hundred fifty-eight million, two hundred ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6143 12286 24572 30715 49144 61430 122860 245720 550457 1100914 2201828 2752285 4403656 5504570 11009140 22018280 3381457351 6762914702 13525829404 16907286755 27051658808 33814573510 67629147020 135258294040