45915120 has 160 divisors (see below), whose sum is σ = 163828800. Its totient is φ = 11805696.

The previous prime is 45915101. The next prime is 45915143. The reversal of 45915120 is 2151954.

45915120 = T₁₀₂₄ + T₁₀₂₅ + ... + T₁₁₀₄.

45915120 is a `hidden beast` number, since 4 + 591 + 51 + 20 = 666.

It is a super-2 number, since 2×45915120² = 4216396489228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 62274 + ... + 63006.

It is an arithmetic number, because the mean of its divisors is an integer number (1023930).

Almost surely, 2^45915120 is an apocalyptic number.

45915120 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 45915120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914400).

45915120 is an abundant number, since it is smaller than the sum of its proper divisors (117913680).

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

45915120 is a wasteful number, since it uses less digits than its factorization.

45915120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 45915120 is about 6776.0696572571. The cubic root of 45915120 is about 358.0842680025.

The spelling of 45915120 in words is "forty-five million, nine hundred fifteen thousand, one hundred twenty".