152445664 has 192 divisors, whose sum is σ = 399168000. Its totient is φ = 56899584.

The previous prime is 152445659. The next prime is 152445673. The reversal of 152445664 is 466544251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3545227 + ... + 3545269.

It is an arithmetic number, because the mean of its divisors is an integer number (2079000).

Almost surely, 2^152445664 is an apocalyptic number.

152445664 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 152445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584000).

152445664 is an abundant number, since it is smaller than the sum of its proper divisors (246722336).

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

152445664 is a wasteful number, since it uses less digits than its factorization.

152445664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its digits is 115200, while the sum is 37.

The square root of 152445664 is about 12346.8888388938. Note that the first 4 decimals coincide. The cubic root of 152445664 is about 534.2014043877.

The spelling of 152445664 in words is "one hundred fifty-two million, four hundred forty-five thousand, six hundred sixty-four".