152404992 has 132 divisors (see below), whose sum is σ = 459838080. Its totient is φ = 48525312.

The previous prime is 152404991. The next prime is 152405003. The reversal of 152404992 is 299404251.

152404992 is a `hidden beast` number, since 1 + 524 + 0 + 49 + 92 = 666.

152404992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (152404991) 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 11 ways as a sum of consecutive naturals, for example, 211609 + ... + 212327.

Almost surely, 2^152404992 is an apocalyptic number.

152404992 is a gapful number since it is divisible by the number (12) 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 152404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229919040).

152404992 is an abundant number, since it is smaller than the sum of its proper divisors (307433088).

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

152404992 is a wasteful number, since it uses less digits than its factorization.

152404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 152404992 is about 12345.2416744266. The cubic root of 152404992 is about 534.1538924383.

The spelling of 152404992 in words is "one hundred fifty-two million, four hundred four thousand, nine hundred ninety-two".