137707380720 has 1920 divisors, whose sum is σ = 660617717760. Its totient is φ = 25798901760.

The previous prime is 137707380719. The next prime is 137707380721. The reversal of 137707380720 is 27083707731.

137707380720 is a `hidden beast` number, since 137 + 70 + 7 + 380 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137707380719) and next prime (137707380721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137707380721) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 571399800 + ... + 571400040.

It is an arithmetic number, because the mean of its divisors is an integer number (344071728).

Almost surely, 2^137707380720 is an apocalyptic number.

137707380720 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 137707380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330308858880).

137707380720 is an abundant number, since it is smaller than the sum of its proper divisors (522910337040).

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

137707380720 is a wasteful number, since it uses less digits than its factorization.

137707380720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 137707380720 in words is "one hundred thirty-seven billion, seven hundred seven million, three hundred eighty thousand, seven hundred twenty".