152032760 has 128 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 51955200.

The previous prime is 152032759. The next prime is 152032763. The reversal of 152032760 is 67230251.

152032760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152032760² = 46227920226435200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152032763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839870 + ... + 840050.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^152032760 is an apocalyptic number.

152032760 is a gapful number since it is divisible by the number (10) 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 152032760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

152032760 is an abundant number, since it is smaller than the sum of its proper divisors (244232200).

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

152032760 is a wasteful number, since it uses less digits than its factorization.

152032760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 152032760 is about 12330.1565277980. The cubic root of 152032760 is about 533.7186677087.

The spelling of 152032760 in words is "one hundred fifty-two million, thirty-two thousand, seven hundred sixty".