1137356640000 has 1890 divisors, whose sum is σ = 4972753678200. Its totient is φ = 258660864000.

The previous prime is 1137356639989. The next prime is 1137356640019. The reversal of 1137356640000 is 466537311.

1137356640000 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 3 + 5 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1890).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 209 ways as a sum of consecutive naturals, for example, 5715359901 + ... + 5715360099.

Almost surely, 2^{1137356640000} is an apocalyptic number.

1137356640000 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 1137356640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486376839100).

1137356640000 is an abundant number, since it is smaller than the sum of its proper divisors (3835397038200).

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

1137356640000 is an frugal number, since it uses more digits than its factorization.

1137356640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1137356640000 in words is "one trillion, one hundred thirty-seven billion, three hundred fifty-six million, six hundred forty thousand".