151214867407872 has 440 divisors, whose sum is σ = 457455101796000. Its totient is φ = 49747819659264.

The previous prime is 151214867407847. The next prime is 151214867407913. The reversal of 151214867407872 is 278704768412151.

It is a happy number.

151214867407872 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 1 + 486 + 74 + 0 + 7 + 87 + 2 = 666.

It is a super-2 number, since 2×151214867407872² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7221674779 + ... + 7221695717.

It is an arithmetic number, because the mean of its divisors is an integer number (1039670685900).

Almost surely, 2^{151214867407872} is an apocalyptic number.

151214867407872 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 151214867407872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228727550898000).

151214867407872 is an abundant number, since it is smaller than the sum of its proper divisors (306240234388128).

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

151214867407872 is a wasteful number, since it uses less digits than its factorization.

151214867407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22103 (or 22076 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 63.

The spelling of 151214867407872 in words is "one hundred fifty-one trillion, two hundred fourteen billion, eight hundred sixty-seven million, four hundred seven thousand, eight hundred seventy-two".