151351200 has 864 divisors, whose sum is σ = 748077120. Its totient is φ = 29030400.

The previous prime is 151351177. The next prime is 151351217. The reversal of 151351200 is 2153151.

151351200 is a `hidden beast` number, since 151 + 3 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11642394 + ... + 11642406.

It is an arithmetic number, because the mean of its divisors is an integer number (865830).

Almost surely, 2^151351200 is an apocalyptic number.

151351200 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 151351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

151351200 is an abundant number, since it is smaller than the sum of its proper divisors (596725920).

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

151351200 is a wasteful number, since it uses less digits than its factorization.

151351200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

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

The square root of 151351200 is about 12302.4875533365. The cubic root of 151351200 is about 532.9199226852.

The spelling of 151351200 in words is "one hundred fifty-one million, three hundred fifty-one thousand, two hundred".