151651200 has 96 divisors (see below), whose sum is σ = 499532760. Its totient is φ = 40437760.

The previous prime is 151651193. The next prime is 151651211. The reversal of 151651200 is 2156151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×151651200² = 45996172922880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1702 + ... + 17498.

Almost surely, 2^151651200 is an apocalyptic number.

151651200 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 151651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249766380).

151651200 is an abundant number, since it is smaller than the sum of its proper divisors (347881560).

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

151651200 is a wasteful number, since it uses less digits than its factorization.

151651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15824 (or 15807 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 151651200 is about 12314.6741735216. The cubic root of 151651200 is about 533.2717984561.

The spelling of 151651200 in words is "one hundred fifty-one million, six hundred fifty-one thousand, two hundred".