137797117920000 has 8640 divisors, whose sum is σ = 704414899077120. Its totient is φ = 26185420800000.

The previous prime is 137797117919947. The next prime is 137797117920139. The reversal of 137797117920000 is 29711797731.

137797117920000 is a `hidden beast` number, since 137 + 79 + 71 + 179 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1660206239959 + ... + 1660206240041.

It is an arithmetic number, because the mean of its divisors is an integer number (81529502208).

Almost surely, 2^{137797117920000} is an apocalyptic number.

137797117920000 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 137797117920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352207449538560).

137797117920000 is an abundant number, since it is smaller than the sum of its proper divisors (566617781157120).

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

137797117920000 is a wasteful number, since it uses less digits than its factorization.

137797117920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1166886, while the sum is 54.

The spelling of 137797117920000 in words is "one hundred thirty-seven trillion, seven hundred ninety-seven billion, one hundred seventeen million, nine hundred twenty thousand".