137820798 has 64 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 44724960.

The previous prime is 137820791. The next prime is 137820811. The reversal of 137820798 is 897028731.

It is a super-2 number, since 2×137820798² = 37989144722713608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137820791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394728 + ... + 395076.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^137820798 is an apocalyptic number.

137820798 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137820798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

137820798 is an abundant number, since it is smaller than the sum of its proper divisors (176675202).

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

137820798 is a wasteful number, since it uses less digits than its factorization.

137820798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 137820798 is about 11739.7103030697. The cubic root of 137820798 is about 516.5411440244.

The spelling of 137820798 in words is "one hundred thirty-seven million, eight hundred twenty thousand, seven hundred ninety-eight".