152615456 has 48 divisors (see below), whose sum is σ = 345119040. Its totient is φ = 65076480.

The previous prime is 152615431. The next prime is 152615459. The reversal of 152615456 is 654516251.

It is not an unprimeable number, because it can be changed into a prime (152615459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45650 + ... + 48878.

It is an arithmetic number, because the mean of its divisors is an integer number (7189980).

Almost surely, 2^152615456 is an apocalyptic number.

152615456 is a gapful number since it is divisible by the number (16) 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 152615456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172559520).

152615456 is an abundant number, since it is smaller than the sum of its proper divisors (192503584).

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

152615456 is a wasteful number, since it uses less digits than its factorization.

152615456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 152615456 is about 12353.7628275761. The cubic root of 152615456 is about 534.3996596625.

The spelling of 152615456 in words is "one hundred fifty-two million, six hundred fifteen thousand, four hundred fifty-six".