45138960 has 120 divisors (see below), whose sum is σ = 153900864. Its totient is φ = 11854080.

The previous prime is 45138959. The next prime is 45138979. The reversal of 45138960 is 6983154.

45138960 is a `hidden beast` number, since 4 + 513 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50679 + ... + 51561.

Almost surely, 2^45138960 is an apocalyptic number.

45138960 is a gapful number since it is divisible by the number (40) 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 45138960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76950432).

45138960 is an abundant number, since it is smaller than the sum of its proper divisors (108761904).

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

45138960 is a wasteful number, since it uses less digits than its factorization.

45138960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45138960 is about 6718.5534157287. The cubic root of 45138960 is about 356.0550771159.

The spelling of 45138960 in words is "forty-five million, one hundred thirty-eight thousand, nine hundred sixty".