152514976 has 48 divisors (see below), whose sum is σ = 318548160. Its totient is φ = 71677440.

The previous prime is 152514961. The next prime is 152514977. The reversal of 152514976 is 679415251.

It is not an unprimeable number, because it can be changed into a prime (152514977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82381 + ... + 84211.

It is an arithmetic number, because the mean of its divisors is an integer number (6636420).

Almost surely, 2^152514976 is an apocalyptic number.

152514976 is a gapful number since it is divisible by the number (16) 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 152514976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159274080).

152514976 is an abundant number, since it is smaller than the sum of its proper divisors (166033184).

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

152514976 is a wasteful number, since it uses less digits than its factorization.

152514976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1989 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 152514976 is about 12349.6953808586. The cubic root of 152514976 is about 534.2823533558.

It can be divided in two parts, 1525149 and 76, that added together give a square (1525225 = 1235²).

The spelling of 152514976 in words is "one hundred fifty-two million, five hundred fourteen thousand, nine hundred seventy-six".