153054432 has 72 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 50555904.

The previous prime is 153054403. The next prime is 153054463. The reversal of 153054432 is 234450351.

153054432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 153054396 and 153054405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30193 + ... + 34895.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^153054432 is an apocalyptic number.

153054432 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 153054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

153054432 is an abundant number, since it is smaller than the sum of its proper divisors (286139232).

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

153054432 is a wasteful number, since it uses less digits than its factorization.

153054432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 153054432 is about 12371.5169643823. The cubic root of 153054432 is about 534.9115432990.

The spelling of 153054432 in words is "one hundred fifty-three million, fifty-four thousand, four hundred thirty-two".