137086748400 has 480 divisors, whose sum is σ = 509762373120. Its totient is φ = 30845583360.

The previous prime is 137086748353. The next prime is 137086748429. The reversal of 137086748400 is 4847680731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137086748400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159960772 + ... + 159961628.

It is an arithmetic number, because the mean of its divisors is an integer number (1062004944).

Almost surely, 2^137086748400 is an apocalyptic number.

137086748400 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 137086748400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254881186560).

137086748400 is an abundant number, since it is smaller than the sum of its proper divisors (372675624720).

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

137086748400 is a wasteful number, since it uses less digits than its factorization.

137086748400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 137086748400 in words is "one hundred thirty-seven billion, eighty-six million, seven hundred forty-eight thousand, four hundred".