151315203600 has 960 divisors, whose sum is σ = 612520796160. Its totient is φ = 35147520000.

The previous prime is 151315203587. The next prime is 151315203601. The reversal of 151315203600 is 6302513151.

151315203600 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 1 + 52 + 0 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151315203601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 666586687 + ... + 666586913.

It is an arithmetic number, because the mean of its divisors is an integer number (638042496).

Almost surely, 2^151315203600 is an apocalyptic number.

151315203600 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 151315203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306260398080).

151315203600 is an abundant number, since it is smaller than the sum of its proper divisors (461205592560).

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

151315203600 is a wasteful number, since it uses less digits than its factorization.

151315203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 151315203600 its reverse (6302513151), we get a palindrome (157617716751).

The spelling of 151315203600 in words is "one hundred fifty-one billion, three hundred fifteen million, two hundred three thousand, six hundred".