151964313600 has 576 divisors, whose sum is σ = 558712365120. Its totient is φ = 36123443200.

The previous prime is 151964313569. The next prime is 151964313619. The reversal of 151964313600 is 6313469151.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89547952 + ... + 89549648.

It is an arithmetic number, because the mean of its divisors is an integer number (969986745).

Almost surely, 2^151964313600 is an apocalyptic number.

151964313600 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 151964313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279356182560).

151964313600 is an abundant number, since it is smaller than the sum of its proper divisors (406748051520).

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

151964313600 is a wasteful number, since it uses less digits than its factorization.

151964313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

It can be divided in two parts, 151964 and 313600, that added together give a palindrome (465564).

The spelling of 151964313600 in words is "one hundred fifty-one billion, nine hundred sixty-four million, three hundred thirteen thousand, six hundred".