1137474900 has 270 divisors, whose sum is σ = 3901527630. Its totient is φ = 286623360.

The previous prime is 1137474893. The next prime is 1137474937. The reversal of 1137474900 is 94747311.

It can be written as a sum of positive squares in 3 ways, for example, as 14152644 + 1123322256 = 3762^2 + 33516^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2923906 + ... + 2924294.

Almost surely, 2^1137474900 is an apocalyptic number.

1137474900 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 1137474900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950763815).

1137474900 is an abundant number, since it is smaller than the sum of its proper divisors (2764052730).

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

1137474900 is a wasteful number, since it uses less digits than its factorization.

1137474900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 418 counting only the distinct ones).

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

The square root of 1137474900 is about 33726.4717988704. The cubic root of 1137474900 is about 1043.8720612147.

The spelling of 1137474900 in words is "one billion, one hundred thirty-seven million, four hundred seventy-four thousand, nine hundred".