152716800 has 240 divisors, whose sum is σ = 522122832. Its totient is φ = 39321600.

The previous prime is 152716799. The next prime is 152716801. The reversal of 152716800 is 8617251.

It is an interprime number because it is at equal distance from previous prime (152716799) and next prime (152716801).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152716801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574352 + ... + 1574448.

Almost surely, 2^152716800 is an apocalyptic number.

152716800 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 152716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261061416).

152716800 is an abundant number, since it is smaller than the sum of its proper divisors (369406032).

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

152716800 is an equidigital number, since it uses as much as digits as its factorization.

152716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 152716800 is about 12357.8638930844. The cubic root of 152716800 is about 534.5179225110.

The spelling of 152716800 in words is "one hundred fifty-two million, seven hundred sixteen thousand, eight hundred".