152729600 has 144 divisors (see below), whose sum is σ = 401146200. Its totient is φ = 57507840.

The previous prime is 152729567. The next prime is 152729609. The reversal of 152729600 is 6927251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152729609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 972722 + ... + 972878.

Almost surely, 2^152729600 is an apocalyptic number.

152729600 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 152729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200573100).

152729600 is an abundant number, since it is smaller than the sum of its proper divisors (248416600).

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

152729600 is a wasteful number, since it uses less digits than its factorization.

152729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 152729600 is about 12358.3817710896. The cubic root of 152729600 is about 534.5328556820.

The spelling of 152729600 in words is "one hundred fifty-two million, seven hundred twenty-nine thousand, six hundred".