152870400 has 180 divisors, whose sum is σ = 547493232. Its totient is φ = 40734720.

The previous prime is 152870383. The next prime is 152870401. The reversal of 152870400 is 4078251.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152870401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 114537 + ... + 115863.

Almost surely, 2^152870400 is an apocalyptic number.

152870400 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 152870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273746616).

152870400 is an abundant number, since it is smaller than the sum of its proper divisors (394622832).

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

152870400 is a wasteful number, since it uses less digits than its factorization.

152870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 152870400 is about 12364.0769974956. The cubic root of 152870400 is about 534.6970655231.

The spelling of 152870400 in words is "one hundred fifty-two million, eight hundred seventy thousand, four hundred".