152594240 has 56 divisors (see below), whose sum is σ = 364873032. Its totient is φ = 60784640.

The previous prime is 152594207. The next prime is 152594269. The reversal of 152594240 is 42495251.

It can be written as a sum of positive squares in 4 ways, for example, as 64384576 + 88209664 = 8024^2 + 9392^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 152594197 and 152594206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89072 + ... + 90768.

Almost surely, 2^152594240 is an apocalyptic number.

152594240 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 152594240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182436516).

152594240 is an abundant number, since it is smaller than the sum of its proper divisors (212278792).

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

152594240 is a wasteful number, since it uses less digits than its factorization.

152594240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 152594240 is about 12352.9041119892. The cubic root of 152594240 is about 534.3748951358.

The spelling of 152594240 in words is "one hundred fifty-two million, five hundred ninety-four thousand, two hundred forty".