137034022440 has 256 divisors, whose sum is σ = 474284574720. Its totient is φ = 31026078720.

The previous prime is 137034022427. The next prime is 137034022511. The reversal of 137034022440 is 44220430731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 137034022398 and 137034022407.

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, 99805594 + ... + 99806966.

It is an arithmetic number, because the mean of its divisors is an integer number (1852674120).

Almost surely, 2^137034022440 is an apocalyptic number.

137034022440 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 137034022440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237142287360).

137034022440 is an abundant number, since it is smaller than the sum of its proper divisors (337250552280).

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

137034022440 is a wasteful number, since it uses less digits than its factorization.

137034022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 137034022440 in words is "one hundred thirty-seven billion, thirty-four million, twenty-two thousand, four hundred forty".