152796000 has 384 divisors, whose sum is σ = 611380224. Its totient is φ = 32563200.

The previous prime is 152795987. The next prime is 152796023. The reversal of 152796000 is 697251.

152796000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427947 + ... + 1428053.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 2^152796000 is an apocalyptic number.

152796000 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 152796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305690112).

152796000 is an abundant number, since it is smaller than the sum of its proper divisors (458584224).

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

152796000 is a wasteful number, since it uses less digits than its factorization.

152796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 152796000 is about 12361.0679150306. The cubic root of 152796000 is about 534.6103081192.

The spelling of 152796000 in words is "one hundred fifty-two million, seven hundred ninety-six thousand".