45133900 has 108 divisors (see below), whose sum is σ = 116565456. Its totient is φ = 15120000.

The previous prime is 45133897. The next prime is 45133901. The reversal of 45133900 is 933154.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45133901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298825 + ... + 298975.

Almost surely, 2^45133900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58282728).

45133900 is an abundant number, since it is smaller than the sum of its proper divisors (71431556).

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

45133900 is a wasteful number, since it uses less digits than its factorization.

45133900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 45133900 is about 6718.1768360173. The cubic root of 45133900 is about 356.0417722309.

The spelling of 45133900 in words is "forty-five million, one hundred thirty-three thousand, nine hundred".