137209865142 has 128 divisors (see below), whose sum is σ = 328109875200. Its totient is φ = 37428019200.

The previous prime is 137209865141. The next prime is 137209865159. The reversal of 137209865142 is 241568902731.

It is a junction number, because it is equal to n+sod(n) for n = 137209865091 and 137209865100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137209865141) 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, 65933542 + ... + 65935622.

It is an arithmetic number, because the mean of its divisors is an integer number (2563358400).

It is a 1-persistent number, because it is pandigital, but 2⋅137209865142 = 274419730284 is not.

Almost surely, 2^137209865142 is an apocalyptic number.

It is a pronic number, being equal to 370418×370419.

It is a practical number, because each smaller number is the sum of distinct divisors of 137209865142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164054937600).

137209865142 is an abundant number, since it is smaller than the sum of its proper divisors (190900010058).

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

137209865142 is a wasteful number, since it uses less digits than its factorization.

137209865142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782.

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 137209865142 in words is "one hundred thirty-seven billion, two hundred nine million, eight hundred sixty-five thousand, one hundred forty-two".