137748681000 has 768 divisors, whose sum is σ = 563878748160. Its totient is φ = 30797625600.

The previous prime is 137748680977. The next prime is 137748681041. The reversal of 137748681000 is 186847731.

It is a super-2 number, since 2×137748681000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79946139 + ... + 79947861.

It is an arithmetic number, because the mean of its divisors is an integer number (734217120).

Almost surely, 2^137748681000 is an apocalyptic number.

137748681000 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 137748681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281939374080).

137748681000 is an abundant number, since it is smaller than the sum of its proper divisors (426130067160).

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

137748681000 is a wasteful number, since it uses less digits than its factorization.

137748681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 137748681000 in words is "one hundred thirty-seven billion, seven hundred forty-eight million, six hundred eighty-one thousand".