137740238720 has 256 divisors, whose sum is σ = 385126704000. Its totient is φ = 47087566848.

The previous prime is 137740238707. The next prime is 137740238729. The reversal of 137740238720 is 27832047731.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137740238729) 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, 100319954 + ... + 100321326.

Almost surely, 2^137740238720 is an apocalyptic number.

137740238720 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 137740238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192563352000).

137740238720 is an abundant number, since it is smaller than the sum of its proper divisors (247386465280).

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

137740238720 is an equidigital number, since it uses as much as digits as its factorization.

137740238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 137740238720 in words is "one hundred thirty-seven billion, seven hundred forty million, two hundred thirty-eight thousand, seven hundred twenty".