137300720 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 53098752.

The previous prime is 137300717. The next prime is 137300743. The reversal of 137300720 is 27003731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574361 + ... + 574599.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2^137300720 is an apocalyptic number.

137300720 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 137300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

137300720 is an abundant number, since it is smaller than the sum of its proper divisors (192678160).

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

137300720 is a wasteful number, since it uses less digits than its factorization.

137300720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 137300720 is about 11717.5389907608. The cubic root of 137300720 is about 515.8905883440.

The spelling of 137300720 in words is "one hundred thirty-seven million, three hundred thousand, seven hundred twenty".