152377920 has 168 divisors, whose sum is σ = 529020024. Its totient is φ = 40255488.

The previous prime is 152377903. The next prime is 152377931. The reversal of 152377920 is 29773251.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 150994944 = 1176^2 + 12288^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451992 + ... + 452328.

Almost surely, 2^152377920 is an apocalyptic number.

152377920 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 152377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264510012).

152377920 is an abundant number, since it is smaller than the sum of its proper divisors (376642104).

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

152377920 is a wasteful number, since it uses less digits than its factorization.

152377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 152377920 is about 12344.1451708897. The cubic root of 152377920 is about 534.1222629614.

The spelling of 152377920 in words is "one hundred fifty-two million, three hundred seventy-seven thousand, nine hundred twenty".