137479680 has 480 divisors, whose sum is σ = 563026464. Its totient is φ = 31850496.

The previous prime is 137479673. The next prime is 137479703. The reversal of 137479680 is 86974731.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8087032 + ... + 8087048.

Almost surely, 2^137479680 is an apocalyptic number.

137479680 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 137479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281513232).

137479680 is an abundant number, since it is smaller than the sum of its proper divisors (425546784).

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

137479680 is an equidigital number, since it uses as much as digits as its factorization.

137479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 137479680 is about 11725.1729198336. The cubic root of 137479680 is about 516.1146311036.

Adding to 137479680 its product of nonzero digits (254016), we get a square (137733696 = 11736²).

The spelling of 137479680 in words is "one hundred thirty-seven million, four hundred seventy-nine thousand, six hundred eighty".