152139600 has 120 divisors (see below), whose sum is σ = 541542720. Its totient is φ = 40567680.

The previous prime is 152139577. The next prime is 152139619. The reversal of 152139600 is 6931251.

152139600 is a `hidden beast` number, since 1 + 5 + 21 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3757 + ... + 17843.

It is an arithmetic number, because the mean of its divisors is an integer number (4512856).

Almost surely, 2^152139600 is an apocalyptic number.

152139600 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 152139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270771360).

152139600 is an abundant number, since it is smaller than the sum of its proper divisors (389403120).

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

152139600 is a wasteful number, since it uses less digits than its factorization.

152139600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14114 (or 14097 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 152139600 is about 12334.4882342155. The cubic root of 152139600 is about 533.8436608358.

The spelling of 152139600 in words is "one hundred fifty-two million, one hundred thirty-nine thousand, six hundred".