137690998632000 has 672 divisors, whose sum is σ = 557221186214784. Its totient is φ = 33379630848000.

The previous prime is 137690998631899. The next prime is 137690998632041. The reversal of 137690998632000 is 236899096731.

137690998632000 is a `hidden beast` number, since 137 + 6 + 90 + 9 + 98 + 6 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×137690998632000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18164514 + ... + 24603486.

It is an arithmetic number, because the mean of its divisors is an integer number (829198193772).

Almost surely, 2^{137690998632000} is an apocalyptic number.

137690998632000 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 137690998632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278610593107392).

137690998632000 is an abundant number, since it is smaller than the sum of its proper divisors (419530187582784).

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

137690998632000 is an equidigital number, since it uses as much as digits as its factorization.

137690998632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439026 (or 6438994 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 137690998632000 in words is "one hundred thirty-seven trillion, six hundred ninety billion, nine hundred ninety-eight million, six hundred thirty-two thousand".