137422056401322 has 128 divisors (see below), whose sum is σ = 343430281451520. Its totient is φ = 35614138371840.

The previous prime is 137422056401321. The next prime is 137422056401351. The reversal of 137422056401322 is 223104650224731.

It is a super-4 number, since 4×137422056401322⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (137422056401321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751123768 + ... + 751306700.

It is an arithmetic number, because the mean of its divisors is an integer number (2683049073840).

Almost surely, 2^{137422056401322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137422056401322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171715140725760).

137422056401322 is an abundant number, since it is smaller than the sum of its proper divisors (206008225050198).

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

137422056401322 is a wasteful number, since it uses less digits than its factorization.

137422056401322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186588.

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 137422056401322 in words is "one hundred thirty-seven trillion, four hundred twenty-two billion, fifty-six million, four hundred one thousand, three hundred twenty-two".