151564 has 12 divisors (see below), whose sum is σ = 303184. Its totient is φ = 64944.

The previous prime is 151561. The next prime is 151573. The reversal of 151564 is 465151.

151564 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 1 + 5³ + 5⁷ + 1 + 6⁵ + 4⁸ .

It is not an unprimeable number, because it can be changed into a prime (151561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2679 + ... + 2734.

2¹⁵¹⁵⁶⁴ is an apocalyptic number.

151564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

151564 is a wasteful number, since it uses less digits than its factorization.

151564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5422 counting only the distinct ones).

The product of its digits is 600, while the sum is 22.

The square root of 151564 is about 389.3122140391. The cubic root of 151564 is about 53.3169567775.

The spelling of 151564 in words is "one hundred fifty-one thousand, five hundred sixty-four".