1137830400 has 720 divisors, whose sum is σ = 4986805824. Its totient is φ = 241827840.

The previous prime is 1137830387. The next prime is 1137830429. The reversal of 1137830400 is 40387311.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13708759 + ... + 13708841.

Almost surely, 2^1137830400 is an apocalyptic number.

1137830400 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 1137830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493402912).

1137830400 is an abundant number, since it is smaller than the sum of its proper divisors (3848975424).

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

1137830400 is a wasteful number, since it uses less digits than its factorization.

1137830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1137830400 is about 33731.7417279334. The cubic root of 1137830400 is about 1043.9807985194.

The spelling of 1137830400 in words is "one billion, one hundred thirty-seven million, eight hundred thirty thousand, four hundred".