152415040 has 56 divisors (see below), whose sum is σ = 371822472. Its totient is φ = 59473920.

The previous prime is 152415019. The next prime is 152415071. The reversal of 152415040 is 40514251.

It can be written as a sum of positive squares in 4 ways, for example, as 238144 + 152176896 = 488^2 + 12336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7312 + ... + 18928.

It is an arithmetic number, because the mean of its divisors is an integer number (6639687).

Almost surely, 2^152415040 is an apocalyptic number.

152415040 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 152415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185911236).

152415040 is an abundant number, since it is smaller than the sum of its proper divisors (219407432).

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

152415040 is a wasteful number, since it uses less digits than its factorization.

152415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11665 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 152415040 is about 12345.6486261354. The cubic root of 152415040 is about 534.1656310309.

Adding to 152415040 its reverse (40514251), we get a palindrome (192929291).

The spelling of 152415040 in words is "one hundred fifty-two million, four hundred fifteen thousand, forty".