137006364 has 72 divisors (see below), whose sum is σ = 354211984. Its totient is φ = 41184000.

The previous prime is 137006347. The next prime is 137006369. The reversal of 137006364 is 463600731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137006369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227664 + ... + 228264.

Almost surely, 2^137006364 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 137006364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177105992).

137006364 is an abundant number, since it is smaller than the sum of its proper divisors (217205620).

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

137006364 is a wasteful number, since it uses less digits than its factorization.

137006364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 137006364 is about 11704.9717641693. The cubic root of 137006364 is about 515.5216557330.

The spelling of 137006364 in words is "one hundred thirty-seven million, six thousand, three hundred sixty-four".