45915144 has 96 divisors (see below), whose sum is σ = 128254560. Its totient is φ = 13685760.

The previous prime is 45915143. The next prime is 45915161. The reversal of 45915144 is 44151954.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (45915143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281607 + ... + 281769.

It is an arithmetic number, because the mean of its divisors is an integer number (1335985).

Almost surely, 2^45915144 is an apocalyptic number.

45915144 is a gapful number since it is divisible by the number (44) 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 45915144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64127280).

45915144 is an abundant number, since it is smaller than the sum of its proper divisors (82339416).

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

45915144 is a wasteful number, since it uses less digits than its factorization.

45915144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 276 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 45915144 is about 6776.0714281950. The cubic root of 45915144 is about 358.0843303932.

The spelling of 45915144 in words is "forty-five million, nine hundred fifteen thousand, one hundred forty-four".