137201316 has 48 divisors (see below), whose sum is σ = 366516864. Its totient is φ = 39131136.

The previous prime is 137201303. The next prime is 137201333. The reversal of 137201316 is 613102731.

It is a super-2 number, since 2×137201316² = 37648402224263712, 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, 63876 + ... + 65988.

It is an arithmetic number, because the mean of its divisors is an integer number (7635768).

Almost surely, 2^137201316 is an apocalyptic number.

It is an amenable number.

137201316 is an abundant number, since it is smaller than the sum of its proper divisors (229315548).

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

137201316 is a wasteful number, since it uses less digits than its factorization.

137201316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 137201316 is about 11713.2965470870. The cubic root of 137201316 is about 515.7660588471.

The spelling of 137201316 in words is "one hundred thirty-seven million, two hundred one thousand, three hundred sixteen".