153930552 has 64 divisors (see below), whose sum is σ = 410304000. Its totient is φ = 47983104.

The previous prime is 153930551. The next prime is 153930577. The reversal of 153930552 is 255039351.

It is a super-2 number, since 2×153930552² = 47389229678049408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153930551) 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, 33888 + ... + 38160.

It is an arithmetic number, because the mean of its divisors is an integer number (6411000).

Almost surely, 2^153930552 is an apocalyptic number.

153930552 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 153930552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205152000).

153930552 is an abundant number, since it is smaller than the sum of its proper divisors (256373448).

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

153930552 is a wasteful number, since it uses less digits than its factorization.

153930552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4380 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 153930552 is about 12406.8751907964. The cubic root of 153930552 is about 535.9302556464.

The spelling of 153930552 in words is "one hundred fifty-three million, nine hundred thirty thousand, five hundred fifty-two".