152533392 has 80 divisors (see below), whose sum is σ = 443781120. Its totient is φ = 44726400.

The previous prime is 152533391. The next prime is 152533399. The reversal of 152533392 is 293335251.

It is a happy number.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (152533391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11709 + ... + 21027.

It is an arithmetic number, because the mean of its divisors is an integer number (5547264).

Almost surely, 2^152533392 is an apocalyptic number.

152533392 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 152533392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221890560).

152533392 is an abundant number, since it is smaller than the sum of its proper divisors (291247728).

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

152533392 is a wasteful number, since it uses less digits than its factorization.

152533392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9372 (or 9366 counting only the distinct ones).

The product of its digits is 24300, while the sum is 33.

The square root of 152533392 is about 12350.4409637875. The cubic root of 152533392 is about 534.3038571409.

The spelling of 152533392 in words is "one hundred fifty-two million, five hundred thirty-three thousand, three hundred ninety-two".