152875440 has 120 divisors (see below), whose sum is σ = 518225760. Its totient is φ = 40384512.

The previous prime is 152875433. The next prime is 152875451. The reversal of 152875440 is 44578251.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 152875395 and 152875404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80421 + ... + 82299.

It is an arithmetic number, because the mean of its divisors is an integer number (4318548).

Almost surely, 2^152875440 is an apocalyptic number.

152875440 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 152875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259112880).

152875440 is an abundant number, since it is smaller than the sum of its proper divisors (365350320).

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

152875440 is a wasteful number, since it uses less digits than its factorization.

152875440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 152875440 is about 12364.2808120812. The cubic root of 152875440 is about 534.7029416195.

The spelling of 152875440 in words is "one hundred fifty-two million, eight hundred seventy-five thousand, four hundred forty".