153169920 has 208 divisors, whose sum is σ = 546503520. Its totient is φ = 40697856.

The previous prime is 153169897. The next prime is 153169921. The reversal of 153169920 is 29961351.

It is a super-2 number, since 2×153169920² = 46922048785612800, which contains 22 as substring.

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 (153169921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552822 + ... + 553098.

Almost surely, 2^153169920 is an apocalyptic number.

153169920 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 153169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273251760).

153169920 is an abundant number, since it is smaller than the sum of its proper divisors (393333600).

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

153169920 is an equidigital number, since it uses as much as digits as its factorization.

153169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 153169920 is about 12376.1835797632. The cubic root of 153169920 is about 535.0460495489.

The spelling of 153169920 in words is "one hundred fifty-three million, one hundred sixty-nine thousand, nine hundred twenty".