1137125376 has 288 divisors, whose sum is σ = 3679603200. Its totient is φ = 336199680.

The previous prime is 1137125371. The next prime is 1137125389. The reversal of 1137125376 is 6735217311.

1137125376 is a `hidden beast` number, since 113 + 7 + 1 + 2 + 537 + 6 = 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 a self number, because there is not a number n which added to its sum of digits gives 1137125376.

It is not an unprimeable number, because it can be changed into a prime (1137125371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5953441 + ... + 5953631.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^1137125376 is an apocalyptic number.

1137125376 is a gapful number since it is divisible by the number (16) 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 1137125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839801600).

1137125376 is an abundant number, since it is smaller than the sum of its proper divisors (2542477824).

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

1137125376 is a wasteful number, since it uses less digits than its factorization.

1137125376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 1137125376 is about 33721.2896550532. The cubic root of 1137125376 is about 1043.7651297077.

The spelling of 1137125376 in words is "one billion, one hundred thirty-seven million, one hundred twenty-five thousand, three hundred seventy-six".