1137957120 has 288 divisors, whose sum is σ = 4253155200. Its totient is φ = 287318016.

The previous prime is 1137957097. The next prime is 1137957133. The reversal of 1137957120 is 217597311.

1137957120 is a `hidden beast` number, since 1 + 13 + 79 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655774 + ... + 657506.

It is an arithmetic number, because the mean of its divisors is an integer number (14767900).

Almost surely, 2^1137957120 is an apocalyptic number.

1137957120 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 1137957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126577600).

1137957120 is an abundant number, since it is smaller than the sum of its proper divisors (3115198080).

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

1137957120 is a wasteful number, since it uses less digits than its factorization.

1137957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 1137957120 is about 33733.6200251322. The cubic root of 1137957120 is about 1044.0195530755.

The spelling of 1137957120 in words is "one billion, one hundred thirty-seven million, nine hundred fifty-seven thousand, one hundred twenty".