137772021715152 has 240 divisors, whose sum is σ = 404728423848000. Its totient is φ = 40306438430720.

The previous prime is 137772021715147. The next prime is 137772021715213. The reversal of 137772021715152 is 251517120277731.

It is a super-2 number, since 2×137772021715152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137772021715095 and 137772021715104.

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, 3264022624 + ... + 3264064832.

It is an arithmetic number, because the mean of its divisors is an integer number (1686368432700).

Almost surely, 2^{137772021715152} is an apocalyptic number.

137772021715152 is a gapful number since it is divisible by the number (12) 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 137772021715152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202364211924000).

137772021715152 is an abundant number, since it is smaller than the sum of its proper divisors (266956402132848).

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

137772021715152 is a wasteful number, since it uses less digits than its factorization.

137772021715152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61650 (or 61633 counting only the distinct ones).

The product of its (nonzero) digits is 1440600, while the sum is 51.

The spelling of 137772021715152 in words is "one hundred thirty-seven trillion, seven hundred seventy-two billion, twenty-one million, seven hundred fifteen thousand, one hundred fifty-two".