137000678622912 has 280 divisors, whose sum is σ = 439262271232400. Its totient is φ = 41969971390464.

The previous prime is 137000678622889. The next prime is 137000678622943. The reversal of 137000678622912 is 219226876000731.

It is a happy number.

137000678622912 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 0 + 0 + 6 + 7 + 8 + 622 + 9 + 1 + 2 = 666.

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 39 ways as a sum of consecutive naturals, for example, 10994139 + ... + 19871397.

It is an arithmetic number, because the mean of its divisors is an integer number (1568793825830).

Almost surely, 2^{137000678622912} is an apocalyptic number.

137000678622912 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 137000678622912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219631135616200).

137000678622912 is an abundant number, since it is smaller than the sum of its proper divisors (302261592609488).

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

137000678622912 is a wasteful number, since it uses less digits than its factorization.

137000678622912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8877525 (or 8877506 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 137000678622912 in words is "one hundred thirty-seven trillion, six hundred seventy-eight million, six hundred twenty-two thousand, nine hundred twelve".