137306480 has 40 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 54549248.

The previous prime is 137306479. The next prime is 137306509. The reversal of 137306480 is 84603731.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6161 + ... + 17679.

It is an arithmetic number, because the mean of its divisors is an integer number (8035200).

Almost surely, 2^137306480 is an apocalyptic number.

137306480 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 137306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

137306480 is an abundant number, since it is smaller than the sum of its proper divisors (184101520).

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

137306480 is a wasteful number, since it uses less digits than its factorization.

137306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11681 (or 11675 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 137306480 is about 11717.7847735824. The cubic root of 137306480 is about 515.8978024072.

The spelling of 137306480 in words is "one hundred thirty-seven million, three hundred six thousand, four hundred eighty".