151610766120 has 1024 divisors, whose sum is σ = 616307097600. Its totient is φ = 32699842560.

The previous prime is 151610766119. The next prime is 151610766149. The reversal of 151610766120 is 21667016151.

It is a happy number.

151610766120 is a `hidden beast` number, since 1 + 516 + 10 + 7 + 6 + 6 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 589925032 + ... + 589925288.

It is an arithmetic number, because the mean of its divisors is an integer number (601862400).

Almost surely, 2^151610766120 is an apocalyptic number.

151610766120 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 151610766120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308153548800).

151610766120 is an abundant number, since it is smaller than the sum of its proper divisors (464696331480).

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

151610766120 is a wasteful number, since it uses less digits than its factorization.

151610766120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 151610766120 in words is "one hundred fifty-one billion, six hundred ten million, seven hundred sixty-six thousand, one hundred twenty".