137305430020 has 144 divisors (see below), whose sum is σ = 344383603200. Its totient is φ = 45775065600.

The previous prime is 137305429951. The next prime is 137305430033. The reversal of 137305430020 is 20034503731.

It is a super-2 number, since 2×137305430020² (a number of 23 digits) contains 22 as substring.

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, 1377216 + ... + 1473544.

It is an arithmetic number, because the mean of its divisors is an integer number (2391552800).

Almost surely, 2^137305430020 is an apocalyptic number.

137305430020 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 137305430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172191801600).

137305430020 is an abundant number, since it is smaller than the sum of its proper divisors (207078173180).

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

137305430020 is a wasteful number, since it uses less digits than its factorization.

137305430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96410 (or 96397 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

Adding to 137305430020 its reverse (20034503731), we get a palindrome (157339933751).

The spelling of 137305430020 in words is "one hundred thirty-seven billion, three hundred five million, four hundred thirty thousand, twenty".