151114122756 has 81 divisors (see below), whose sum is σ = 388170669159. Its totient is φ = 49568249808.

The previous prime is 151114122737. The next prime is 151114122767. The reversal of 151114122756 is 657221411151.

The square root of 151114122756 is 388734.

It is a perfect power (a square), and thus also a powerful number.

151114122756 is a `hidden beast` number, since 1 + 511 + 14 + 122 + 7 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151114122756.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156270585 + ... + 156271551.

Almost surely, 2^151114122756 is an apocalyptic number.

151114122756 is the 388734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151114122756

151114122756 is an abundant number, since it is smaller than the sum of its proper divisors (237056546403).

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

151114122756 is an frugal number, since it uses more digits than its factorization.

151114122756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1039 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

Multiplying 151114122756 by its sum of digits (36), we get a square (5440108419216 = 2332404²).

151114122756 divided by its sum of digits (36) gives a square (4197614521 = 64789²).

The spelling of 151114122756 in words is "one hundred fifty-one billion, one hundred fourteen million, one hundred twenty-two thousand, seven hundred fifty-six".