137849091840 has 1080 divisors, whose sum is σ = 542767357440. Its totient is φ = 33359413248.

The previous prime is 137849091769. The next prime is 137849091857. The reversal of 137849091840 is 48190948731.

137849091840 is a `hidden beast` number, since 1 + 3 + 78 + 490 + 9 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×137849091840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1085425857 + ... + 1085425983.

It is an arithmetic number, because the mean of its divisors is an integer number (502562368).

Almost surely, 2^137849091840 is an apocalyptic number.

137849091840 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 137849091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271383678720).

137849091840 is an abundant number, since it is smaller than the sum of its proper divisors (404918265600).

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

137849091840 is a wasteful number, since it uses less digits than its factorization.

137849091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 137849091840 in words is "one hundred thirty-seven billion, eight hundred forty-nine million, ninety-one thousand, eight hundred forty".