151564064 has 48 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 71103744.

The previous prime is 151564057. The next prime is 151564073. The reversal of 151564064 is 460465151.

151564064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 151564064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65129 + ... + 67415.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2^151564064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

151564064 is an abundant number, since it is smaller than the sum of its proper divisors (165552736).

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

151564064 is a wasteful number, since it uses less digits than its factorization.

151564064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 151564064 is about 12311.1357721374. The cubic root of 151564064 is about 533.1696428209.

The spelling of 151564064 in words is "one hundred fifty-one million, five hundred sixty-four thousand, sixty-four".