137800680192 has 288 divisors, whose sum is σ = 480743567360. Its totient is φ = 38101155840.

The previous prime is 137800680167. The next prime is 137800680203. The reversal of 137800680192 is 291086008731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×137800680192² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453968 + ... + 1545840.

Almost surely, 2^137800680192 is an apocalyptic number.

137800680192 is a gapful number since it is divisible by the number (12) 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 137800680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371783680).

137800680192 is an abundant number, since it is smaller than the sum of its proper divisors (342942887168).

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

137800680192 is an equidigital number, since it uses as much as digits as its factorization.

137800680192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91936 (or 91916 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 137800680192 in words is "one hundred thirty-seven billion, eight hundred million, six hundred eighty thousand, one hundred ninety-two".