152661132 has 96 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 46668096.

The previous prime is 152661127. The next prime is 152661169. The reversal of 152661132 is 231166251.

152661132 is a `hidden beast` number, since 1 + 526 + 6 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152661096 and 152661105.

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, 318469 + ... + 318947.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2^152661132 is an apocalyptic number.

152661132 is a gapful number since it is divisible by the number (12) 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 152661132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

152661132 is an abundant number, since it is smaller than the sum of its proper divisors (276343668).

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

152661132 is a wasteful number, since it uses less digits than its factorization.

152661132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 152661132 is about 12355.6113567885. The cubic root of 152661132 is about 534.4529675095.

The spelling of 152661132 in words is "one hundred fifty-two million, six hundred sixty-one thousand, one hundred thirty-two".