137211084 has 120 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 41873760.

The previous prime is 137211083. The next prime is 137211101. The reversal of 137211084 is 480112731.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (137211083) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 190477 + ... + 191195.

It is an arithmetic number, because the mean of its divisors is an integer number (3252480).

Almost surely, 2^137211084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137211084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

137211084 is an abundant number, since it is smaller than the sum of its proper divisors (253086516).

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

137211084 is a wasteful number, since it uses less digits than its factorization.

137211084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 137211084 is about 11713.7135017039. The cubic root of 137211084 is about 515.7782984850.

The spelling of 137211084 in words is "one hundred thirty-seven million, two hundred eleven thousand, eighty-four".