137147280 has 80 divisors (see below), whose sum is σ = 426401280. Its totient is φ = 36465664.

The previous prime is 137147243. The next prime is 137147299. The reversal of 137147280 is 82741731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×137147280² = 37618752822796800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 114364 + ... + 115556.

It is an arithmetic number, because the mean of its divisors is an integer number (5330016).

Almost surely, 2^137147280 is an apocalyptic number.

137147280 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 137147280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213200640).

137147280 is an abundant number, since it is smaller than the sum of its proper divisors (289254000).

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

137147280 is a wasteful number, since it uses less digits than its factorization.

137147280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 137147280 is about 11710.9897105240. The cubic root of 137147280 is about 515.6983393937.

The spelling of 137147280 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, two hundred eighty".