137202480 has 120 divisors (see below), whose sum is σ = 476732880. Its totient is φ = 35320320.

The previous prime is 137202463. The next prime is 137202487. The reversal of 137202480 is 84202731.

It is a tau number, because it is divible by the number of its divisors (120).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137202487) 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 23 ways as a sum of consecutive naturals, for example, 17595 + ... + 24165.

It is an arithmetic number, because the mean of its divisors is an integer number (3972774).

Almost surely, 2^137202480 is an apocalyptic number.

137202480 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 137202480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238366440).

137202480 is an abundant number, since it is smaller than the sum of its proper divisors (339530400).

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

137202480 is a wasteful number, since it uses less digits than its factorization.

137202480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137202480 is about 11713.3462341041. The cubic root of 137202480 is about 515.7675174093.

The spelling of 137202480 in words is "one hundred thirty-seven million, two hundred two thousand, four hundred eighty".