137719680 has 128 divisors (see below), whose sum is σ = 501742080. Its totient is φ = 31475712.

The previous prime is 137719667. The next prime is 137719693. The reversal of 137719680 is 86917731.

It is an interprime number because it is at equal distance from previous prime (137719667) and next prime (137719693).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8317 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (3919860).

Almost surely, 2^137719680 is an apocalyptic number.

137719680 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 137719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250871040).

137719680 is an abundant number, since it is smaller than the sum of its proper divisors (364022400).

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

137719680 is a wasteful number, since it uses less digits than its factorization.

137719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10276 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 137719680 is about 11735.4028477935. The cubic root of 137719680 is about 516.4147857695.

The spelling of 137719680 in words is "one hundred thirty-seven million, seven hundred nineteen thousand, six hundred eighty".