152639240 has 64 divisors (see below), whose sum is σ = 373388400. Its totient is φ = 55821312.

The previous prime is 152639237. The next prime is 152639251. The reversal of 152639240 is 42936251.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45185284 + 107453956 = 6722^2 + 10366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 152639197 and 152639206.

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, 55334 + ... + 58026.

Almost surely, 2^152639240 is an apocalyptic number.

152639240 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 152639240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186694200).

152639240 is an abundant number, since it is smaller than the sum of its proper divisors (220749160).

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

152639240 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (152639239) it forms an eRAP, since the sums of their prime factors are consecutive (2825 and 2826).

152639240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 152639240 is about 12354.7254117605. The cubic root of 152639240 is about 534.4274189769.

The spelling of 152639240 in words is "one hundred fifty-two million, six hundred thirty-nine thousand, two hundred forty".