1137052800 has 288 divisors, whose sum is σ = 4370800980. Its totient is φ = 279797760.

The previous prime is 1137052799. The next prime is 1137052879. The reversal of 1137052800 is 82507311.

1137052800 is a `hidden beast` number, since 1 + 137 + 0 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 405458496 + 731594304 = 20136^2 + 27048^2 .

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372882 + ... + 375918.

Almost surely, 2^1137052800 is an apocalyptic number.

1137052800 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 1137052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185400490).

1137052800 is an abundant number, since it is smaller than the sum of its proper divisors (3233748180).

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

1137052800 is a wasteful number, since it uses less digits than its factorization.

1137052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1137052800 is about 33720.2135224556. The cubic root of 1137052800 is about 1043.7429234464.

The spelling of 1137052800 in words is "one billion, one hundred thirty-seven million, fifty-two thousand, eight hundred".