151585600 has 84 divisors (see below), whose sum is σ = 395007084. Its totient is φ = 57057280.

The previous prime is 151585531. The next prime is 151585607. The reversal of 151585600 is 6585151.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 139806976 = 3432^2 + 11824^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151585607) by changing a digit.

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, 24414 + ... + 29986.

Almost surely, 2^151585600 is an apocalyptic number.

151585600 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 151585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197503542).

151585600 is an abundant number, since it is smaller than the sum of its proper divisors (243421484).

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

151585600 is a wasteful number, since it uses less digits than its factorization.

151585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

The square root of 151585600 is about 12312.0103963569. The cubic root of 151585600 is about 533.1948946238.

The spelling of 151585600 in words is "one hundred fifty-one million, five hundred eighty-five thousand, six hundred".