153945132 has 96 divisors (see below), whose sum is σ = 428488704. Its totient is φ = 42470400.

The previous prime is 153945097. The next prime is 153945157. The reversal of 153945132 is 231549351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 153945093 and 153945102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68458 + ... + 70670.

It is an arithmetic number, because the mean of its divisors is an integer number (4463424).

Almost surely, 2^153945132 is an apocalyptic number.

153945132 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 153945132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214244352).

153945132 is an abundant number, since it is smaller than the sum of its proper divisors (274543572).

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

153945132 is a wasteful number, since it uses less digits than its factorization.

153945132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2277 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 153945132 is about 12407.4627543265. The cubic root of 153945132 is about 535.9471758665.

The spelling of 153945132 in words is "one hundred fifty-three million, nine hundred forty-five thousand, one hundred thirty-two".