152996480 has 256 divisors, whose sum is σ = 468840960. Its totient is φ = 46448640.

The previous prime is 152996477. The next prime is 152996497. The reversal of 152996480 is 84699251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154845 + ... + 2154915.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^152996480 is an apocalyptic number.

152996480 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 152996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

152996480 is an abundant number, since it is smaller than the sum of its proper divisors (315844480).

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

152996480 is a wasteful number, since it uses less digits than its factorization.

152996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 152996480 is about 12369.1745884679. The cubic root of 152996480 is about 534.8440224249.

The spelling of 152996480 in words is "one hundred fifty-two million, nine hundred ninety-six thousand, four hundred eighty".