35124135642 has 48 divisors (see below), whose sum is σ = 84819908160. Its totient is φ = 10439369856.

The previous prime is 35124135617. The next prime is 35124135679. The reversal of 35124135642 is 24653142153.

35124135642 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 4 + 1 + 3 + 5 + 642 = 666.

It is a super-2 number, since 2×35124135642² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35124135597 and 35124135606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014838 + ... + 3026465.

It is an arithmetic number, because the mean of its divisors is an integer number (1767081420).

Almost surely, 2^35124135642 is an apocalyptic number.

35124135642 is an abundant number, since it is smaller than the sum of its proper divisors (49695772518).

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

35124135642 is a wasteful number, since it uses less digits than its factorization.

35124135642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041347 (or 6041344 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 35124135642 its reverse (24653142153), we get a palindrome (59777277795).

The spelling of 35124135642 in words is "thirty-five billion, one hundred twenty-four million, one hundred thirty-five thousand, six hundred forty-two".