137739851040 has 192 divisors, whose sum is σ = 473729316480. Its totient is φ = 33362903040.

The previous prime is 137739851033. The next prime is 137739851057. The reversal of 137739851040 is 40158937731.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6520816 + ... + 6541904.

It is an arithmetic number, because the mean of its divisors is an integer number (2467340190).

Almost surely, 2^137739851040 is an apocalyptic number.

137739851040 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 137739851040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236864658240).

137739851040 is an abundant number, since it is smaller than the sum of its proper divisors (335989465440).

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

137739851040 is a wasteful number, since it uses less digits than its factorization.

137739851040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22355 (or 22347 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 137739851040 in words is "one hundred thirty-seven billion, seven hundred thirty-nine million, eight hundred fifty-one thousand, forty".