45787140 has 96 divisors (see below), whose sum is σ = 162812160. Its totient is φ = 10464768.

The previous prime is 45787139. The next prime is 45787153. The reversal of 45787140 is 4178754.

45787140 = T₁₆₀₀ + T₁₆₀₁ + ... + T₁₆₃₄.

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

It is a junction number, because it is equal to n+sod(n) for n = 45787095 and 45787104.

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, 2277 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (1695960).

Almost surely, 2^45787140 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 45787140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81406080).

45787140 is an abundant number, since it is smaller than the sum of its proper divisors (117025020).

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

45787140 is a wasteful number, since it uses less digits than its factorization.

45787140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12138 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 45787140 is about 6766.6195400658. The cubic root of 45787140 is about 357.7512602745.

The spelling of 45787140 in words is "forty-five million, seven hundred eighty-seven thousand, one hundred forty".