152275440 has 80 divisors (see below), whose sum is σ = 477424800. Its totient is φ = 40144896.

The previous prime is 152275411. The next prime is 152275447. The reversal of 152275440 is 44572251.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 152275398 and 152275407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152275447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17796 + ... + 24924.

It is an arithmetic number, because the mean of its divisors is an integer number (5967810).

Almost surely, 2^152275440 is an apocalyptic number.

152275440 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 152275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238712400).

152275440 is an abundant number, since it is smaller than the sum of its proper divisors (325149360).

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

152275440 is a wasteful number, since it uses less digits than its factorization.

152275440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7234 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 152275440 is about 12339.9935170161. The cubic root of 152275440 is about 534.0024968672.

The spelling of 152275440 in words is "one hundred fifty-two million, two hundred seventy-five thousand, four hundred forty".