1137438720 has 624 divisors, whose sum is σ = 4706220960. Its totient is φ = 259522560.

The previous prime is 1137438713. The next prime is 1137438721. The reversal of 1137438720 is 278347311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137438721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66908152 + ... + 66908168.

Almost surely, 2^1137438720 is an apocalyptic number.

1137438720 is a gapful number since it is divisible by the number (10) 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 1137438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353110480).

1137438720 is an abundant number, since it is smaller than the sum of its proper divisors (3568782240).

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

1137438720 is a wasteful number, since it uses less digits than its factorization.

1137438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1137438720 is about 33725.9354206818. The cubic root of 1137438720 is about 1043.8609935151.

The spelling of 1137438720 in words is "one billion, one hundred thirty-seven million, four hundred thirty-eight thousand, seven hundred twenty".