151513200 has 120 divisors (see below), whose sum is σ = 539313200. Its totient is φ = 40400640.

The previous prime is 151513199. The next prime is 151513207. The reversal of 151513200 is 2315151.

151513200 is a `hidden beast` number, since 151 + 513 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151513207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3786 + ... + 17814.

Almost surely, 2^151513200 is an apocalyptic number.

151513200 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 151513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269656600).

151513200 is an abundant number, since it is smaller than the sum of its proper divisors (387800000).

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

151513200 is a wasteful number, since it uses less digits than its factorization.

151513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14056 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151513200 is about 12309.0698267578. The cubic root of 151513200 is about 533.1099932922.

Adding to 151513200 its reverse (2315151), we get a palindrome (153828351).

The spelling of 151513200 in words is "one hundred fifty-one million, five hundred thirteen thousand, two hundred".