152391900 has 72 divisors (see below), whose sum is σ = 452870320. Its totient is φ = 39536640.

The previous prime is 152391857. The next prime is 152391983. The reversal of 152391900 is 9193251.

It is a super-2 number, since 2×152391900² = 46446582371220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4236 + ... + 17964.

Almost surely, 2^152391900 is an apocalyptic number.

152391900 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 152391900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226435160).

152391900 is an abundant number, since it is smaller than the sum of its proper divisors (300478420).

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

152391900 is a wasteful number, since it uses less digits than its factorization.

152391900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13783 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 152391900 is about 12344.7114182552. The cubic root of 152391900 is about 534.1385969134.

The spelling of 152391900 in words is "one hundred fifty-two million, three hundred ninety-one thousand, nine hundred".