137479680000 has 1560 divisors, whose sum is σ = 586799701488. Its totient is φ = 31850496000.

The previous prime is 137479679977. The next prime is 137479680029. The reversal of 137479680000 is 86974731.

It is a tau number, because it is divible by the number of its divisors (1560).

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 119 ways as a sum of consecutive naturals, for example, 8087039992 + ... + 8087040008.

Almost surely, 2^137479680000 is an apocalyptic number.

137479680000 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 137479680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293399850744).

137479680000 is an abundant number, since it is smaller than the sum of its proper divisors (449320021488).

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

137479680000 is an frugal number, since it uses more digits than its factorization.

137479680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

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

The spelling of 137479680000 in words is "one hundred thirty-seven billion, four hundred seventy-nine million, six hundred eighty thousand".