152900384 has 108 divisors (see below), whose sum is σ = 379834434. Its totient is φ = 60383232.

The previous prime is 152900381. The next prime is 152900411. The reversal of 152900384 is 483009251.

152900384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 126067984 + 26832400 = 11228^2 + 5180^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 152900384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152900381) 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, 264704 + ... + 265280.

Almost surely, 2^152900384 is an apocalyptic number.

152900384 is a gapful number since it is divisible by the number (14) 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 152900384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189917217).

152900384 is an abundant number, since it is smaller than the sum of its proper divisors (226934050).

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

152900384 is a wasteful number, since it uses less digits than its factorization.

152900384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 152900384 is about 12365.2894830651. The cubic root of 152900384 is about 534.7320217316.

The spelling of 152900384 in words is "one hundred fifty-two million, nine hundred thousand, three hundred eighty-four".