1137812346000 has 2400 divisors, whose sum is σ = 5032491399936. Its totient is φ = 244823040000.

The previous prime is 1137812345911. The next prime is 1137812346029. The reversal of 1137812346000 is 6432187311.

It is a happy number.

1137812346000 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 12 + 34 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16025525965 + ... + 16025526035.

Almost surely, 2^{1137812346000} is an apocalyptic number.

1137812346000 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 1137812346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516245699968).

1137812346000 is an abundant number, since it is smaller than the sum of its proper divisors (3894679053936).

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

1137812346000 is a wasteful number, since it uses less digits than its factorization.

1137812346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1137812346000 in words is "one trillion, one hundred thirty-seven billion, eight hundred twelve million, three hundred forty-six thousand".