152621664 has 96 divisors (see below), whose sum is σ = 446433120. Its totient is φ = 45330432.

The previous prime is 152621659. The next prime is 152621669. The reversal of 152621664 is 466126251.

It is an interprime number because it is at equal distance from previous prime (152621659) and next prime (152621669).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152621669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34084 + ... + 38300.

It is an arithmetic number, because the mean of its divisors is an integer number (4650345).

Almost surely, 2^152621664 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 152621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223216560).

152621664 is an abundant number, since it is smaller than the sum of its proper divisors (293811456).

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

152621664 is a wasteful number, since it uses less digits than its factorization.

152621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4264 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 152621664 is about 12354.0140844990. The cubic root of 152621664 is about 534.4069055605.

The spelling of 152621664 in words is "one hundred fifty-two million, six hundred twenty-one thousand, six hundred sixty-four".