153900 has 90 divisors (see below), whose sum is σ = 525140. Its totient is φ = 38880.

The previous prime is 153889. The next prime is 153911. The reversal of 153900 is 9351.

153900 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (153889) and next prime (153911).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8091 + ... + 8109.

2¹⁵³⁹⁰⁰ is an apocalyptic number.

153900 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 153900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262570).

153900 is an abundant number, since it is smaller than the sum of its proper divisors (371240).

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

153900 is a wasteful number, since it uses less digits than its factorization.

153900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 153900 is about 392.3009049187. The cubic root of 153900 is about 53.5894796312.

The spelling of 153900 in words is "one hundred fifty-three thousand, nine hundred".