152457800 has 144 divisors (see below), whose sum is σ = 407317680. Its totient is φ = 52624000.

The previous prime is 152457793. The next prime is 152457817. The reversal of 152457800 is 8754251.

It is a super-4 number, since 4×152457800⁴ (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1163735 + ... + 1163865.

It is an arithmetic number, because the mean of its divisors is an integer number (2828595).

Almost surely, 2^152457800 is an apocalyptic number.

152457800 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 152457800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203658840).

152457800 is an abundant number, since it is smaller than the sum of its proper divisors (254859880).

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

152457800 is a wasteful number, since it uses less digits than its factorization.

152457800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 152457800 is about 12347.3802889520. The cubic root of 152457800 is about 534.2155797033.

The spelling of 152457800 in words is "one hundred fifty-two million, four hundred fifty-seven thousand, eight hundred".