152915040 has 384 divisors, whose sum is σ = 595123200. Its totient is φ = 36951552.

The previous prime is 152915039. The next prime is 152915041. The reversal of 152915040 is 40519251.

152915040 is a `hidden beast` number, since 152 + 9 + 1 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (152915039) and next prime (152915041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 152914995 and 152915013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152915041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6648469 + ... + 6648491.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 2^152915040 is an apocalyptic number.

152915040 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 152915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

152915040 is an abundant number, since it is smaller than the sum of its proper divisors (442208160).

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

152915040 is an equidigital number, since it uses as much as digits as its factorization.

152915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 152915040 is about 12365.8820955078. The cubic root of 152915040 is about 534.7491064546.

The spelling of 152915040 in words is "one hundred fifty-two million, nine hundred fifteen thousand, forty".