137224426080 has 384 divisors, whose sum is σ = 506501517312. Its totient is φ = 30577655808.

The previous prime is 137224426067. The next prime is 137224426091. The reversal of 137224426080 is 80624422731.

It is a happy number.

It is a super-2 number, since 2×137224426080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43742272 + ... + 43745408.

It is an arithmetic number, because the mean of its divisors is an integer number (1319014368).

Almost surely, 2^137224426080 is an apocalyptic number.

137224426080 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 137224426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253250758656).

137224426080 is an abundant number, since it is smaller than the sum of its proper divisors (369277091232).

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

137224426080 is a wasteful number, since it uses less digits than its factorization.

137224426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 137224426080 in words is "one hundred thirty-seven billion, two hundred twenty-four million, four hundred twenty-six thousand, eighty".