137881436 has 36 divisors (see below), whose sum is σ = 303118704. Its totient is φ = 53718720.

The previous prime is 137881433. The next prime is 137881453. The reversal of 137881436 is 634188731.

137881436 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137881436² = 38022580786844192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

137881436 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 137881393 and 137881402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137881433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16961 + ... + 23736.

It is an arithmetic number, because the mean of its divisors is an integer number (8419964).

Almost surely, 2^137881436 is an apocalyptic number.

It is an amenable number.

137881436 is an abundant number, since it is smaller than the sum of its proper divisors (165237268).

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

137881436 is a wasteful number, since it uses less digits than its factorization.

137881436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40730 (or 40717 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 137881436 is about 11742.2926211196. The cubic root of 137881436 is about 516.6168883480.

The spelling of 137881436 in words is "one hundred thirty-seven million, eight hundred eighty-one thousand, four hundred thirty-six".