137448131602320 has 2880 divisors, whose sum is σ = 617007510991872. Its totient is φ = 26784674611200.

The previous prime is 137448131602259. The next prime is 137448131602403. The reversal of 137448131602320 is 23206131844731.

It is a happy number.

137448131602320 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 4 + 8 + 1 + 3 + 1 + 602 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 246765047482 + ... + 246765048038.

Almost surely, 2^{137448131602320} is an apocalyptic number.

137448131602320 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 137448131602320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308503755495936).

137448131602320 is an abundant number, since it is smaller than the sum of its proper divisors (479559379389552).

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

137448131602320 is a wasteful number, since it uses less digits than its factorization.

137448131602320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 137448131602320 in words is "one hundred thirty-seven trillion, four hundred forty-eight billion, one hundred thirty-one million, six hundred two thousand, three hundred twenty".