153017920 has 112 divisors (see below), whose sum is σ = 411480000. Its totient is φ = 53688320.

The previous prime is 153017911. The next prime is 153017941. The reversal of 153017920 is 29710351.

It is a super-2 number, since 2×153017920² = 46828967682252800, which contains 22 as substring.

It is an unprimeable number.

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, 101331 + ... + 102829.

Almost surely, 2^153017920 is an apocalyptic number.

153017920 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 153017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205740000).

153017920 is an abundant number, since it is smaller than the sum of its proper divisors (258462080).

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

153017920 is a wasteful number, since it uses less digits than its factorization.

153017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 153017920 is about 12370.0412287106. The cubic root of 153017920 is about 534.8690045253.

The spelling of 153017920 in words is "one hundred fifty-three million, seventeen thousand, nine hundred twenty".