1137904320 has 224 divisors, whose sum is σ = 4272076800. Its totient is φ = 251080704.

The previous prime is 1137904307. The next prime is 1137904331. The reversal of 1137904320 is 234097311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 191961 + ... + 197799.

Almost surely, 2^1137904320 is an apocalyptic number.

1137904320 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 1137904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136038400).

1137904320 is an abundant number, since it is smaller than the sum of its proper divisors (3134172480).

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

1137904320 is a wasteful number, since it uses less digits than its factorization.

1137904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5885 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1137904320 is about 33732.8374140095. The cubic root of 1137904320 is about 1044.0034056934.

The spelling of 1137904320 in words is "one billion, one hundred thirty-seven million, nine hundred four thousand, three hundred twenty".