137134620000 has 1440 divisors, whose sum is σ = 601772371200. Its totient is φ = 30046464000.

The previous prime is 137134619983. The next prime is 137134620011. The reversal of 137134620000 is 26431731.

137134620000 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 34 + 620 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 986579931 + ... + 986580069.

It is an arithmetic number, because the mean of its divisors is an integer number (417897480).

Almost surely, 2^137134620000 is an apocalyptic number.

137134620000 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 137134620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300886185600).

137134620000 is an abundant number, since it is smaller than the sum of its proper divisors (464637751200).

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

137134620000 is an equidigital number, since it uses as much as digits as its factorization.

137134620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 137134620000 in words is "one hundred thirty-seven billion, one hundred thirty-four million, six hundred twenty thousand".