1137756900 has 144 divisors (see below), whose sum is σ = 3773758464. Its totient is φ = 259259520.

The previous prime is 1137756889. The next prime is 1137756901. The reversal of 1137756900 is 96577311.

It is a super-2 number, since 2×1137756900² = 2588981526995220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1137756901) 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, 929689 + ... + 930911.

It is an arithmetic number, because the mean of its divisors is an integer number (26206656).

Almost surely, 2^1137756900 is an apocalyptic number.

1137756900 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 1137756900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886879232).

1137756900 is an abundant number, since it is smaller than the sum of its proper divisors (2636001564).

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

1137756900 is a wasteful number, since it uses less digits than its factorization.

1137756900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 1137756900 is about 33730.6522320574. The cubic root of 1137756900 is about 1043.9583188245.

The spelling of 1137756900 in words is "one billion, one hundred thirty-seven million, seven hundred fifty-six thousand, nine hundred".