137826620 has 72 divisors (see below), whose sum is σ = 306288864. Its totient is φ = 52080000.

The previous prime is 137826617. The next prime is 137826629. The reversal of 137826620 is 26628731.

It is a happy number.

137826620 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137826629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364570 + ... + 1364670.

It is an arithmetic number, because the mean of its divisors is an integer number (4254012).

Almost surely, 2^137826620 is an apocalyptic number.

137826620 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 137826620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153144432).

137826620 is an abundant number, since it is smaller than the sum of its proper divisors (168462244).

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

137826620 is a wasteful number, since it uses less digits than its factorization.

137826620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 137826620 is about 11739.9582622767. The cubic root of 137826620 is about 516.5484173828.

It can be divided in two parts, 13782 and 6620, that added together give a palindrome (20402).

The spelling of 137826620 in words is "one hundred thirty-seven million, eight hundred twenty-six thousand, six hundred twenty".