152113920 has 144 divisors (see below), whose sum is σ = 555313920. Its totient is φ = 34762752.

The previous prime is 152113901. The next prime is 152113921. The reversal of 152113920 is 29311251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152113921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24051 + ... + 29709.

Almost surely, 2^152113920 is an apocalyptic number.

152113920 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 152113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277656960).

152113920 is an abundant number, since it is smaller than the sum of its proper divisors (403200000).

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

152113920 is an equidigital number, since it uses as much as digits as its factorization.

152113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 152113920 is about 12333.4472066815. The cubic root of 152113920 is about 533.8136229043.

The spelling of 152113920 in words is "one hundred fifty-two million, one hundred thirteen thousand, nine hundred twenty".