151334415516560 has 40 divisors (see below), whose sum is σ = 351858610143360. Its totient is φ = 60532717764992.

The previous prime is 151334415516523. The next prime is 151334415516649. The reversal of 151334415516560 is 65615514433151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 151334415516499 and 151334415516508.

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 7 ways as a sum of consecutive naturals, for example, 11725862 + ... + 20980101.

It is an arithmetic number, because the mean of its divisors is an integer number (8796465253584).

Almost surely, 2^{151334415516560} is an apocalyptic number.

151334415516560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151334415516560 is an abundant number, since it is smaller than the sum of its proper divisors (200524194626800).

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

151334415516560 is a wasteful number, since it uses less digits than its factorization.

151334415516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32763815 (or 32763809 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 50.

The spelling of 151334415516560 in words is "one hundred fifty-one trillion, three hundred thirty-four billion, four hundred fifteen million, five hundred sixteen thousand, five hundred sixty".