152689920 has 144 divisors (see below), whose sum is σ = 516559680. Its totient is φ = 38305792.

The previous prime is 152689919. The next prime is 152689949. The reversal of 152689920 is 29986251.

152689920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 64111 + ... + 66449.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^152689920 is an apocalyptic number.

152689920 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 152689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258279840).

152689920 is an abundant number, since it is smaller than the sum of its proper divisors (363869760).

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

152689920 is a wasteful number, since it uses less digits than its factorization.

152689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 152689920 is about 12356.7762786254. The cubic root of 152689920 is about 534.4865601356.

The spelling of 152689920 in words is "one hundred fifty-two million, six hundred eighty-nine thousand, nine hundred twenty".