153131037696 has 528 divisors, whose sum is σ = 548137209984. Its totient is φ = 40094466048.

The previous prime is 153131037629. The next prime is 153131037713. The reversal of 153131037696 is 696730131351.

153131037696 is a `hidden beast` number, since 1 + 531 + 3 + 103 + 7 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×153131037696² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131668411 + ... + 131669573.

Almost surely, 2^153131037696 is an apocalyptic number.

153131037696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153131037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274068604992).

153131037696 is an abundant number, since it is smaller than the sum of its proper divisors (395006172288).

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

153131037696 is a wasteful number, since it uses less digits than its factorization.

153131037696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 153131037696 in words is "one hundred fifty-three billion, one hundred thirty-one million, thirty-seven thousand, six hundred ninety-six".