151034625002400 has 144 divisors (see below), whose sum is σ = 517492320559200. Its totient is φ = 38156115778560.

The previous prime is 151034625002389. The next prime is 151034625002411. The reversal of 151034625002400 is 4200526430151.

It is an interprime number because it is at equal distance from previous prime (151034625002389) and next prime (151034625002411).

It is a super-2 number, since 2×151034625002400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656035815 + ... + 1656127014.

It is an arithmetic number, because the mean of its divisors is an integer number (3593696670550).

Almost surely, 2^{151034625002400} is an apocalyptic number.

151034625002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151034625002400 is an abundant number, since it is smaller than the sum of its proper divisors (366457695556800).

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

151034625002400 is a wasteful number, since it uses less digits than its factorization.

151034625002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3312162871 (or 3312162858 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 151034625002400 in words is "one hundred fifty-one trillion, thirty-four billion, six hundred twenty-five million, two thousand, four hundred".