137354164 has 24 divisors (see below), whose sum is σ = 245955528. Its totient is φ = 67092480.

The previous prime is 137354143. The next prime is 137354167. The reversal of 137354164 is 461453731.

It can be written as a sum of positive squares in 4 ways, for example, as 26936100 + 110418064 = 5190^2 + 10508^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137354167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53224 + ... + 55744.

It is an arithmetic number, because the mean of its divisors is an integer number (10248147).

Almost surely, 2^137354164 is an apocalyptic number.

It is an amenable number.

137354164 is a deficient number, since it is larger than the sum of its proper divisors (108601364).

137354164 is a wasteful number, since it uses less digits than its factorization.

137354164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2833 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 137354164 is about 11719.8192818831. The cubic root of 137354164 is about 515.9575160824.

The spelling of 137354164 in words is "one hundred thirty-seven million, three hundred fifty-four thousand, one hundred sixty-four".