137411410400 has 144 divisors (see below), whose sum is σ = 367795209600. Its totient is φ = 49716057600.

The previous prime is 137411410399. The next prime is 137411410489. The reversal of 137411410400 is 4014114731.

It is a self number, because there is not a number n which added to its sum of digits gives 137411410400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1711967 + ... + 1790433.

It is an arithmetic number, because the mean of its divisors is an integer number (2554133400).

Almost surely, 2^137411410400 is an apocalyptic number.

137411410400 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 137411410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183897604800).

137411410400 is an abundant number, since it is smaller than the sum of its proper divisors (230383799200).

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

137411410400 is a wasteful number, since it uses less digits than its factorization.

137411410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78697 (or 78684 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 137411410400 in words is "one hundred thirty-seven billion, four hundred eleven million, four hundred ten thousand, four hundred".