152086788 has 144 divisors (see below), whose sum is σ = 474969600. Its totient is φ = 41912640.

The previous prime is 152086763. The next prime is 152086799. The reversal of 152086788 is 887680251.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152973 + ... + 153963.

It is an arithmetic number, because the mean of its divisors is an integer number (3298400).

Almost surely, 2^152086788 is an apocalyptic number.

152086788 is a gapful number since it is divisible by the number (18) 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 152086788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

152086788 is an abundant number, since it is smaller than the sum of its proper divisors (322882812).

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

152086788 is a wasteful number, since it uses less digits than its factorization.

152086788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 152086788 is about 12332.3472218390. The cubic root of 152086788 is about 533.7818828935.

The spelling of 152086788 in words is "one hundred fifty-two million, eighty-six thousand, seven hundred eighty-eight".