1137709440 has 576 divisors, whose sum is σ = 4761666000. Its totient is φ = 249274368.

The previous prime is 1137709373. The next prime is 1137709477. The reversal of 1137709440 is 449077311.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1137709440² = 2588765539730227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1137709395 and 1137709404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8184891 + ... + 8185029.

Almost surely, 2^1137709440 is an apocalyptic number.

1137709440 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 1137709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380833000).

1137709440 is an abundant number, since it is smaller than the sum of its proper divisors (3623956560).

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

1137709440 is a wasteful number, since it uses less digits than its factorization.

1137709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1137709440 is about 33729.9487103079. The cubic root of 1137709440 is about 1043.9438028499.

The spelling of 1137709440 in words is "one billion, one hundred thirty-seven million, seven hundred nine thousand, four hundred forty".