45137732640 has 768 divisors, whose sum is σ = 196140994560. Its totient is φ = 8420474880.

The previous prime is 45137732609. The next prime is 45137732681. The reversal of 45137732640 is 4623773154.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45137732592 and 45137732601.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17776491 + ... + 17779029.

It is an arithmetic number, because the mean of its divisors is an integer number (255391920).

Almost surely, 2^45137732640 is an apocalyptic number.

45137732640 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 45137732640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98070497280).

45137732640 is an abundant number, since it is smaller than the sum of its proper divisors (151003261920).

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

45137732640 is a wasteful number, since it uses less digits than its factorization.

45137732640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

It can be divided in two parts, 45137 and 732640, that added together give a palindrome (777777).

The spelling of 45137732640 in words is "forty-five billion, one hundred thirty-seven million, seven hundred thirty-two thousand, six hundred forty".