137234436352 has 144 divisors (see below), whose sum is σ = 311554067328. Its totient is φ = 59852390400.

The previous prime is 137234436319. The next prime is 137234436389. The reversal of 137234436352 is 253634432731.

It is a super-2 number, since 2×137234436352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137234436299 and 137234436308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342352 + ... + 6363952.

It is an arithmetic number, because the mean of its divisors is an integer number (2163569912).

Almost surely, 2^137234436352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137234436352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155777033664).

137234436352 is an abundant number, since it is smaller than the sum of its proper divisors (174319630976).

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

137234436352 is a wasteful number, since it uses less digits than its factorization.

137234436352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21736 (or 21722 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 43.

The spelling of 137234436352 in words is "one hundred thirty-seven billion, two hundred thirty-four million, four hundred thirty-six thousand, three hundred fifty-two".