152305664 has 76 divisors (see below), whose sum is σ = 352320864. Its totient is φ = 64487424.

The previous prime is 152305663. The next prime is 152305711. The reversal of 152305664 is 466503251.

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 152305664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152305663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1834967 + ... + 1835049.

Almost surely, 2^152305664 is an apocalyptic number.

152305664 is a gapful number since it is divisible by the number (14) 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 152305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160432).

152305664 is an abundant number, since it is smaller than the sum of its proper divisors (200015200).

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

152305664 is an frugal number, since it uses more digits than its factorization.

152305664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 152305664 is about 12341.2180922306. The cubic root of 152305664 is about 534.0378245685.

The spelling of 152305664 in words is "one hundred fifty-two million, three hundred five thousand, six hundred sixty-four".