137198480 has 40 divisors (see below), whose sum is σ = 320422200. Its totient is φ = 54632448.

The previous prime is 137198461. The next prime is 137198491. The reversal of 137198480 is 84891731.

It can be written as a sum of positive squares in 4 ways, for example, as 41628304 + 95570176 = 6452^2 + 9776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14576 + ... + 22064.

It is an arithmetic number, because the mean of its divisors is an integer number (8010555).

Almost surely, 2^137198480 is an apocalyptic number.

137198480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137198480 is an abundant number, since it is smaller than the sum of its proper divisors (183223720).

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

137198480 is a wasteful number, since it uses less digits than its factorization.

137198480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

The square root of 137198480 is about 11713.1754874586. The cubic root of 137198480 is about 515.7625051333.

The spelling of 137198480 in words is "one hundred thirty-seven million, one hundred ninety-eight thousand, four hundred eighty".