137134969920000 has 2400 divisors, whose sum is σ = 555419851354368. Its totient is φ = 33568432128000.

The previous prime is 137134969919993. The next prime is 137134969920031. The reversal of 137134969920000 is 29969431731.

It is a happy number.

137134969920000 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 349 + 6 + 99 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 296187839769 + ... + 296187840231.

Almost surely, 2^{137134969920000} is an apocalyptic number.

137134969920000 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 137134969920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277709925677184).

137134969920000 is an abundant number, since it is smaller than the sum of its proper divisors (418284881434368).

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

137134969920000 is an frugal number, since it uses more digits than its factorization.

137134969920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 137134969920000 in words is "one hundred thirty-seven trillion, one hundred thirty-four billion, nine hundred sixty-nine million, nine hundred twenty thousand".