151315200 has 324 divisors, whose sum is σ = 563432688. Its totient is φ = 38707200.

The previous prime is 151315189. The next prime is 151315207. The reversal of 151315200 is 2513151.

151315200 is a `hidden beast` number, since 1 + 513 + 152 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151315207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2131165 + ... + 2131235.

Almost surely, 2^151315200 is an apocalyptic number.

151315200 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 151315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281716344).

151315200 is an abundant number, since it is smaller than the sum of its proper divisors (412117488).

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

151315200 is a wasteful number, since it uses less digits than its factorization.

151315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

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

The square root of 151315200 is about 12301.0243475899. The cubic root of 151315200 is about 532.8776663557.

Adding to 151315200 its reverse (2513151), we get a palindrome (153828351).

The spelling of 151315200 in words is "one hundred fifty-one million, three hundred fifteen thousand, two hundred".