152749632 has 112 divisors (see below), whose sum is σ = 467441280. Its totient is φ = 43118592.

The previous prime is 152749621. The next prime is 152749651. The reversal of 152749632 is 236947251.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×152749632² = 46664900152270848, which contains 22 as substring.

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, 118978 + ... + 120254.

Almost surely, 2^152749632 is an apocalyptic number.

152749632 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 152749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233720640).

152749632 is an abundant number, since it is smaller than the sum of its proper divisors (314691648).

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

152749632 is a wasteful number, since it uses less digits than its factorization.

152749632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 152749632 is about 12359.1922066129. The cubic root of 152749632 is about 534.5562244201.

The spelling of 152749632 in words is "one hundred fifty-two million, seven hundred forty-nine thousand, six hundred thirty-two".