137438381652 has 96 divisors (see below), whose sum is σ = 378859783680. Its totient is φ = 38229444480.

The previous prime is 137438381651. The next prime is 137438381657. The reversal of 137438381652 is 256183834731.

It is a super-2 number, since 2×137438381652² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137438381595 and 137438381604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438381651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83443 + ... + 530885.

It is an arithmetic number, because the mean of its divisors is an integer number (3946456080).

Almost surely, 2^137438381652 is an apocalyptic number.

137438381652 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 137438381652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189429891840).

137438381652 is an abundant number, since it is smaller than the sum of its proper divisors (241421402028).

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

137438381652 is a wasteful number, since it uses less digits than its factorization.

137438381652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447653 (or 447651 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 137438381652 in words is "one hundred thirty-seven billion, four hundred thirty-eight million, three hundred eighty-one thousand, six hundred fifty-two".