152251306137 has 96 divisors (see below), whose sum is σ = 260256672000. Its totient is φ = 85721594112.

The previous prime is 152251306133. The next prime is 152251306139. The reversal of 152251306137 is 731603152251.

152251306137 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 1 + 30 + 613 + 7 = 666.

It is not a de Polignac number, because 152251306137 - 2² = 152251306133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152251306133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95335023 + ... + 95336619.

It is an arithmetic number, because the mean of its divisors is an integer number (2711007000).

Almost surely, 2^152251306137 is an apocalyptic number.

It is an amenable number.

152251306137 is a deficient number, since it is larger than the sum of its proper divisors (108005365863).

152251306137 is a wasteful number, since it uses less digits than its factorization.

152251306137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 152251306137 its reverse (731603152251), we get a palindrome (883854458388).

The spelling of 152251306137 in words is "one hundred fifty-two billion, two hundred fifty-one million, three hundred six thousand, one hundred thirty-seven".