152788860 has 216 divisors, whose sum is σ = 571399920. Its totient is φ = 32836608.

The previous prime is 152788859. The next prime is 152788879. The reversal of 152788860 is 68887251.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149431 + ... + 150449.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^152788860 is an apocalyptic number.

152788860 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 152788860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285699960).

152788860 is an abundant number, since it is smaller than the sum of its proper divisors (418611060).

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

152788860 is a wasteful number, since it uses less digits than its factorization.

152788860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1053 counting only the distinct ones).

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

The square root of 152788860 is about 12360.7791016586. The cubic root of 152788860 is about 534.6019807261.

The spelling of 152788860 in words is "one hundred fifty-two million, seven hundred eighty-eight thousand, eight hundred sixty".