152040480 has 96 divisors (see below), whose sum is σ = 484444800. Its totient is φ = 40077312.

The previous prime is 152040439. The next prime is 152040521. The reversal of 152040480 is 84040251.

152040480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152040439) and next prime (152040521).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152040480.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40941 + ... + 44499.

It is an arithmetic number, because the mean of its divisors is an integer number (5046300).

Almost surely, 2^152040480 is an apocalyptic number.

152040480 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 152040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242222400).

152040480 is an abundant number, since it is smaller than the sum of its proper divisors (332404320).

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

152040480 is a wasteful number, since it uses less digits than its factorization.

152040480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 152040480 is about 12330.4695774330. The cubic root of 152040480 is about 533.7277013721.

152040480 divided by its sum of digits (24) gives a triangular number (6335020 = T₃₅₅₉).

The spelling of 152040480 in words is "one hundred fifty-two million, forty thousand, four hundred eighty".