153904040 has 64 divisors (see below), whose sum is σ = 364383360. Its totient is φ = 58389760.

The previous prime is 153904031. The next prime is 153904067. The reversal of 153904040 is 40409351.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119882 + ... + 121158.

It is an arithmetic number, because the mean of its divisors is an integer number (5693490).

Almost surely, 2^153904040 is an apocalyptic number.

153904040 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 153904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182191680).

153904040 is an abundant number, since it is smaller than the sum of its proper divisors (210479320).

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

153904040 is a wasteful number, since it uses less digits than its factorization.

153904040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 153904040 is about 12405.8067049265. The cubic root of 153904040 is about 535.8994854959.

The spelling of 153904040 in words is "one hundred fifty-three million, nine hundred four thousand, forty".