137239319040 has 320 divisors, whose sum is σ = 465454066176. Its totient is φ = 34377039872.

The previous prime is 137239319033. The next prime is 137239319047. The reversal of 137239319040 is 40913932731.

It is an interprime number because it is at equal distance from previous prime (137239319033) and next prime (137239319047).

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 137239318983 and 137239319001.

It is not an unprimeable number, because it can be changed into a prime (137239319047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124423129 + ... + 124424231.

Almost surely, 2^137239319040 is an apocalyptic number.

137239319040 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 137239319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232727033088).

137239319040 is an abundant number, since it is smaller than the sum of its proper divisors (328214747136).

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

137239319040 is a wasteful number, since it uses less digits than its factorization.

137239319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 137239319040 in words is "one hundred thirty-seven billion, two hundred thirty-nine million, three hundred nineteen thousand, forty".