152273664 has 216 divisors, whose sum is σ = 473513040. Its totient is φ = 46964736.

The previous prime is 152273651. The next prime is 152273669. The reversal of 152273664 is 466372251.

152273664 is a `hidden beast` number, since 1 + 522 + 73 + 6 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152273669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2873062 + ... + 2873114.

It is an arithmetic number, because the mean of its divisors is an integer number (2192190).

Almost surely, 2^152273664 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 152273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236756520).

152273664 is an abundant number, since it is smaller than the sum of its proper divisors (321239376).

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

152273664 is a wasteful number, since it uses less digits than its factorization.

152273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 152273664 is about 12339.9215556664. The cubic root of 152273664 is about 534.0004208220. Note that the first 3 decimals are identical.

The spelling of 152273664 in words is "one hundred fifty-two million, two hundred seventy-three thousand, six hundred sixty-four".