137731745340 has 144 divisors (see below), whose sum is σ = 477897900480. Its totient is φ = 31453332480.

The previous prime is 137731745323. The next prime is 137731745369. The reversal of 137731745340 is 43547137731.

137731745340 is a `hidden beast` number, since 1 + 37 + 73 + 17 + 4 + 534 + 0 = 666.

It is a super-2 number, since 2×137731745340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374130 + ... + 1470950.

It is an arithmetic number, because the mean of its divisors is an integer number (3318735420).

Almost surely, 2^137731745340 is an apocalyptic number.

137731745340 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 137731745340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238948950240).

137731745340 is an abundant number, since it is smaller than the sum of its proper divisors (340166155140).

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

137731745340 is a wasteful number, since it uses less digits than its factorization.

137731745340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97972 (or 97967 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 137731745340 in words is "one hundred thirty-seven billion, seven hundred thirty-one million, seven hundred forty-five thousand, three hundred forty".