153269840 has 40 divisors (see below), whose sum is σ = 357549288. Its totient is φ = 61102080.

The previous prime is 153269833. The next prime is 153269863. The reversal of 153269840 is 48962351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 143808064 = 3076^2 + 11992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 153269794 and 153269803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21980 + ... + 28100.

Almost surely, 2^153269840 is an apocalyptic number.

153269840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153269840 is an abundant number, since it is smaller than the sum of its proper divisors (204279448).

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

153269840 is a wasteful number, since it uses less digits than its factorization.

153269840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 153269840 is about 12380.2197072588. The cubic root of 153269840 is about 535.1623695597.

The spelling of 153269840 in words is "one hundred fifty-three million, two hundred sixty-nine thousand, eight hundred forty".