152398107015840 has 192 divisors, whose sum is σ = 609592428184320. Its totient is φ = 34833853025280.

The previous prime is 152398107015839. The next prime is 152398107015887. The reversal of 152398107015840 is 48510701893251.

152398107015840 is a `hidden beast` number, since 1 + 52 + 3 + 9 + 8 + 1 + 0 + 7 + 0 + 1 + 584 + 0 = 666.

It is a super-2 number, since 2×152398107015840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2519779731 + ... + 2519840210.

It is an arithmetic number, because the mean of its divisors is an integer number (3174960563460).

Almost surely, 2^{152398107015840} is an apocalyptic number.

152398107015840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152398107015840 is an abundant number, since it is smaller than the sum of its proper divisors (457194321168480).

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

152398107015840 is a wasteful number, since it uses less digits than its factorization.

152398107015840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039619972 (or 5039619958 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 152398107015840 in words is "one hundred fifty-two trillion, three hundred ninety-eight billion, one hundred seven million, fifteen thousand, eight hundred forty".