152561664 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 48660480.

The previous prime is 152561657. The next prime is 152561687. The reversal of 152561664 is 466165251.

152561664 is a `hidden beast` number, since 15 + 25 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×152561664² = 46550122644897792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1714132 + ... + 1714220.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^152561664 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 152561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

152561664 is an abundant number, since it is smaller than the sum of its proper divisors (319182336).

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

152561664 is an equidigital number, since it uses as much as digits as its factorization.

152561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 152561664 is about 12351.5854852727. The cubic root of 152561664 is about 534.3368660999.

The spelling of 152561664 in words is "one hundred fifty-two million, five hundred sixty-one thousand, six hundred sixty-four".