137740992480 has 1344 divisors, whose sum is σ = 633018032640. Its totient is φ = 27491954688.

The previous prime is 137740992439. The next prime is 137740992511. The reversal of 137740992480 is 84299047731.

137740992480 is a `hidden beast` number, since 1 + 3 + 7 + 74 + 0 + 9 + 92 + 480 = 666.

137740992480 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201670219 + ... + 201670901.

It is an arithmetic number, because the mean of its divisors is an integer number (470995560).

Almost surely, 2^137740992480 is an apocalyptic number.

137740992480 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 137740992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316509016320).

137740992480 is an abundant number, since it is smaller than the sum of its proper divisors (495277040160).

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

137740992480 is a wasteful number, since it uses less digits than its factorization.

137740992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 137740992480 in words is "one hundred thirty-seven billion, seven hundred forty million, nine hundred ninety-two thousand, four hundred eighty".