137980098 has 40 divisors (see below), whose sum is σ = 311484492. Its totient is φ = 45650304.

The previous prime is 137980097. The next prime is 137980099. The reversal of 137980098 is 890089731.

It is an interprime number because it is at equal distance from previous prime (137980097) and next prime (137980099).

It can be written as a sum of positive squares in 2 ways, for example, as 134165889 + 3814209 = 11583^2 + 1953^2 .

It is not an unprimeable number, because it can be changed into a prime (137980091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19086 + ... + 25302.

Almost surely, 2^137980098 is an apocalyptic number.

137980098 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 137980098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155742246).

137980098 is an abundant number, since it is smaller than the sum of its proper divisors (173504394).

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

137980098 is a wasteful number, since it uses less digits than its factorization.

137980098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 137980098 is about 11746.4930085537. The cubic root of 137980098 is about 516.7400818789.

The spelling of 137980098 in words is "one hundred thirty-seven million, nine hundred eighty thousand, ninety-eight".