151564320 has 72 divisors (see below), whose sum is σ = 517218156. Its totient is φ = 40416768.

The previous prime is 151564313. The next prime is 151564327. The reversal of 151564320 is 23465151.

151564320 is a `hidden beast` number, since 1 + 5 + 15 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151564313) and next prime (151564327).

It can be written as a sum of positive squares in 2 ways, for example, as 135210384 + 16353936 = 11628^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (151564327) 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, 51187 + ... + 54066.

Almost surely, 2^151564320 is an apocalyptic number.

151564320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151564320 is an abundant number, since it is smaller than the sum of its proper divisors (365653836).

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

151564320 is a wasteful number, since it uses less digits than its factorization.

151564320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105274 (or 105263 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 151564320 is about 12311.1461692240. The cubic root of 151564320 is about 533.1699430049.

The spelling of 151564320 in words is "one hundred fifty-one million, five hundred sixty-four thousand, three hundred twenty".