152929200 has 120 divisors (see below), whose sum is σ = 505808896. Its totient is φ = 39456000.

The previous prime is 152929181. The next prime is 152929223. The reversal of 152929200 is 2929251.

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 (30).

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, 35145 + ... + 39255.

Almost surely, 2^152929200 is an apocalyptic number.

152929200 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 152929200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252904448).

152929200 is an abundant number, since it is smaller than the sum of its proper divisors (352879696).

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

152929200 is a wasteful number, since it uses less digits than its factorization.

152929200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 152929200 is about 12366.4546253160. The cubic root of 152929200 is about 534.7656119460.

The spelling of 152929200 in words is "one hundred fifty-two million, nine hundred twenty-nine thousand, two hundred".