152654080 has 72 divisors (see below), whose sum is σ = 367920000. Its totient is φ = 60684288.

The previous prime is 152654077. The next prime is 152654087. The reversal of 152654080 is 80456251.

152654080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152654087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305671 + ... + 306169.

It is an arithmetic number, because the mean of its divisors is an integer number (5110000).

Almost surely, 2^152654080 is an apocalyptic number.

152654080 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 152654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183960000).

152654080 is an abundant number, since it is smaller than the sum of its proper divisors (215265920).

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

152654080 is an equidigital number, since it uses as much as digits as its factorization.

152654080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 152654080 is about 12355.3259770837. The cubic root of 152654080 is about 534.4447379090. Note that the first 3 decimals are identical.

The spelling of 152654080 in words is "one hundred fifty-two million, six hundred fifty-four thousand, eighty".