137403612192 has 192 divisors, whose sum is σ = 450696960000. Its totient is φ = 35608903680.

The previous prime is 137403612173. The next prime is 137403612221. The reversal of 137403612192 is 291216304731.

It is a self number, because there is not a number n which added to its sum of digits gives 137403612192.

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, 3298309 + ... + 3339707.

It is an arithmetic number, because the mean of its divisors is an integer number (2347380000).

Almost surely, 2^137403612192 is an apocalyptic number.

137403612192 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 137403612192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225348480000).

137403612192 is an abundant number, since it is smaller than the sum of its proper divisors (313293347808).

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

137403612192 is a wasteful number, since it uses less digits than its factorization.

137403612192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41879 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 137403612192 in words is "one hundred thirty-seven billion, four hundred three million, six hundred twelve thousand, one hundred ninety-two".