151945632 has 180 divisors, whose sum is σ = 469317618. Its totient is φ = 48211200.

The previous prime is 151945627. The next prime is 151945649. The reversal of 151945632 is 236549151.

151945632 is a `hidden beast` number, since 1 + 5 + 1 + 94 + 563 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150700176 + 1245456 = 12276^2 + 1116^2 .

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 29 ways as a sum of consecutive naturals, for example, 2490882 + ... + 2490942.

Almost surely, 2^151945632 is an apocalyptic number.

151945632 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 151945632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234658809).

151945632 is an abundant number, since it is smaller than the sum of its proper divisors (317371986).

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

151945632 is an equidigital number, since it uses as much as digits as its factorization.

151945632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 97 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 151945632 is about 12326.6228951810. The cubic root of 151945632 is about 533.6166924806.

The spelling of 151945632 in words is "one hundred fifty-one million, nine hundred forty-five thousand, six hundred thirty-two".