45121536 has 160 divisors (see below), whose sum is σ = 142735230. Its totient is φ = 14155776.

The previous prime is 45121529. The next prime is 45121541. The reversal of 45121536 is 63512154.

45121536 is a `hidden beast` number, since 4 + 5 + 121 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 11943936 = 5760^2 + 3456^2 .

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2654200 + ... + 2654216.

Almost surely, 2^45121536 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 45121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71367615).

45121536 is an abundant number, since it is smaller than the sum of its proper divisors (97613694).

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

45121536 is an frugal number, since it uses more digits than its factorization.

45121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 45121536 is about 6717.2565828618. The cubic root of 45121536 is about 356.0092578496.

The spelling of 45121536 in words is "forty-five million, one hundred twenty-one thousand, five hundred thirty-six".