137219082 has 192 divisors, whose sum is σ = 388964352. Its totient is φ = 31363200.

The previous prime is 137219041. The next prime is 137219101. The reversal of 137219082 is 280912731.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 2048013 + ... + 2048079.

It is an arithmetic number, because the mean of its divisors is an integer number (2025856).

Almost surely, 2^137219082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137219082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194482176).

137219082 is an abundant number, since it is smaller than the sum of its proper divisors (251745270).

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

137219082 is a wasteful number, since it uses less digits than its factorization.

137219082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 137219082 is about 11714.0548914541. The cubic root of 137219082 is about 515.7883198199.

The spelling of 137219082 in words is "one hundred thirty-seven million, two hundred nineteen thousand, eighty-two".