151172105516160 has 256 divisors, whose sum is σ = 482277958070400. Its totient is φ = 40277702246400.

The previous prime is 151172105516123. The next prime is 151172105516167. The reversal of 151172105516160 is 61615501271151.

151172105516160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151172105516160² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151172105516167) 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, 15399007572 + ... + 15399017388.

Almost surely, 2^{151172105516160} is an apocalyptic number.

151172105516160 is a gapful number since it is divisible by the number (10) 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 151172105516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241138979035200).

151172105516160 is an abundant number, since it is smaller than the sum of its proper divisors (331105852554240).

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

151172105516160 is a wasteful number, since it uses less digits than its factorization.

151172105516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15959 (or 15947 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 42.

The spelling of 151172105516160 in words is "one hundred fifty-one trillion, one hundred seventy-two billion, one hundred five million, five hundred sixteen thousand, one hundred sixty".