137302099440 has 320 divisors, whose sum is σ = 475994534400. Its totient is φ = 32452116480.

The previous prime is 137302099439. The next prime is 137302099469. The reversal of 137302099440 is 44990203731.

It is a junction number, because it is equal to n+sod(n) for n = 137302099392 and 137302099401.

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, 119081904 + ... + 119083056.

It is an arithmetic number, because the mean of its divisors is an integer number (1487482920).

Almost surely, 2^137302099440 is an apocalyptic number.

137302099440 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 137302099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237997267200).

137302099440 is an abundant number, since it is smaller than the sum of its proper divisors (338692434960).

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

137302099440 is a wasteful number, since it uses less digits than its factorization.

137302099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 137302099440 in words is "one hundred thirty-seven billion, three hundred two million, ninety-nine thousand, four hundred forty".