151513600 has 240 divisors, whose sum is σ = 456667200. Its totient is φ = 48660480.

The previous prime is 151513561. The next prime is 151513613. The reversal of 151513600 is 6315151.

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, 1702356 + ... + 1702444.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2^151513600 is an apocalyptic number.

151513600 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 151513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228333600).

151513600 is an abundant number, since it is smaller than the sum of its proper divisors (305153600).

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

151513600 is an equidigital number, since it uses as much as digits as its factorization.

151513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 151513600 is about 12309.0860749286. The cubic root of 151513600 is about 533.1104624346.

Adding to 151513600 its reverse (6315151), we get a palindrome (157828751).

The spelling of 151513600 in words is "one hundred fifty-one million, five hundred thirteen thousand, six hundred".