1137564000 has 240 divisors, whose sum is σ = 4176428256. Its totient is φ = 303264000.

The previous prime is 1137563951. The next prime is 1137564007. The reversal of 1137564000 is 4657311.

1137564000 is a `hidden beast` number, since 1 + 13 + 7 + 5 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137564007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322245 + ... + 325755.

Almost surely, 2^1137564000 is an apocalyptic number.

1137564000 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 1137564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088214128).

1137564000 is an abundant number, since it is smaller than the sum of its proper divisors (3038864256).

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

1137564000 is an equidigital number, since it uses as much as digits as its factorization.

1137564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1137564000 is about 33727.7926938601. The cubic root of 1137564000 is about 1043.8993164893.

The spelling of 1137564000 in words is "one billion, one hundred thirty-seven million, five hundred sixty-four thousand".