137928476000 has 192 divisors, whose sum is σ = 388026422784. Its totient is φ = 47201472000.

The previous prime is 137928475981. The next prime is 137928476009. The reversal of 137928476000 is 674829731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137928476009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15983687 + ... + 15992313.

It is an arithmetic number, because the mean of its divisors is an integer number (2020970952).

Almost surely, 2^137928476000 is an apocalyptic number.

137928476000 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 137928476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194013211392).

137928476000 is an abundant number, since it is smaller than the sum of its proper divisors (250097946784).

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

137928476000 is an equidigital number, since it uses as much as digits as its factorization.

137928476000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9230 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 137928476000 in words is "one hundred thirty-seven billion, nine hundred twenty-eight million, four hundred seventy-six thousand".