152339200 has 108 divisors (see below), whose sum is σ = 406289968. Its totient is φ = 56217600.

The previous prime is 152339191. The next prime is 152339221. The reversal of 152339200 is 2933251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82285 + ... + 84115.

Almost surely, 2^152339200 is an apocalyptic number.

152339200 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 152339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203144984).

152339200 is an abundant number, since it is smaller than the sum of its proper divisors (253950768).

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

152339200 is a wasteful number, since it uses less digits than its factorization.

152339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 152339200 is about 12342.5767163911. The cubic root of 152339200 is about 534.0770180729.

The spelling of 152339200 in words is "one hundred fifty-two million, three hundred thirty-nine thousand, two hundred".