152981664 has 96 divisors (see below), whose sum is σ = 440427456. Its totient is φ = 46110720.

The previous prime is 152981629. The next prime is 152981687. The reversal of 152981664 is 466189251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334524 + ... + 334980.

It is an arithmetic number, because the mean of its divisors is an integer number (4587786).

Almost surely, 2^152981664 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 152981664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220213728).

152981664 is an abundant number, since it is smaller than the sum of its proper divisors (287445792).

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

152981664 is a wasteful number, since it uses less digits than its factorization.

152981664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 152981664 is about 12368.5756657749. The cubic root of 152981664 is about 534.8267573113.

The spelling of 152981664 in words is "one hundred fifty-two million, nine hundred eighty-one thousand, six hundred sixty-four".