1137206400 has 384 divisors, whose sum is σ = 4166251200. Its totient is φ = 272588800.

The previous prime is 1137206393. The next prime is 1137206401. The reversal of 1137206400 is 46027311.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1137206401) 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, 12777556 + ... + 12777644.

Almost surely, 2^1137206400 is an apocalyptic number.

1137206400 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 1137206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083125600).

1137206400 is an abundant number, since it is smaller than the sum of its proper divisors (3029044800).

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

1137206400 is an equidigital number, since it uses as much as digits as its factorization.

1137206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 1137206400 is about 33722.4910111931. The cubic root of 1137206400 is about 1043.7899197086.

Subtracting from 1137206400 its reverse (46027311), we obtain a square (1091179089 = 33033²).

The spelling of 1137206400 in words is "one billion, one hundred thirty-seven million, two hundred six thousand, four hundred".