152093836512 has 192 divisors, whose sum is σ = 450905495040. Its totient is φ = 49870245888.

The previous prime is 152093836511. The next prime is 152093836513. The reversal of 152093836512 is 215638390251.

152093836512 is a `hidden beast` number, since 1 + 5 + 209 + 383 + 65 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (152093836511) and next prime (152093836513).

It is a super-2 number, since 2×152093836512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152093836511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13990503 + ... + 14001369.

It is an arithmetic number, because the mean of its divisors is an integer number (2348466120).

Almost surely, 2^152093836512 is an apocalyptic number.

152093836512 is a gapful number since it is divisible by the number (12) 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 152093836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225452747520).

152093836512 is an abundant number, since it is smaller than the sum of its proper divisors (298811658528).

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

152093836512 is a wasteful number, since it uses less digits than its factorization.

152093836512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11150 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 152093836512 in words is "one hundred fifty-two billion, ninety-three million, eight hundred thirty-six thousand, five hundred twelve".