137164272 has 80 divisors (see below), whose sum is σ = 422592000. Its totient is φ = 37483776.

The previous prime is 137164271. The next prime is 137164289. The reversal of 137164272 is 272461731.

137164272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137164272³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137164271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 16602.

It is an arithmetic number, because the mean of its divisors is an integer number (5282400).

Almost surely, 2^137164272 is an apocalyptic number.

137164272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137164272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211296000).

137164272 is an abundant number, since it is smaller than the sum of its proper divisors (285427728).

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

137164272 is a wasteful number, since it uses less digits than its factorization.

137164272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17790 (or 17784 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 137164272 is about 11711.7151604707. The cubic root of 137164272 is about 515.7196361687.

The spelling of 137164272 in words is "one hundred thirty-seven million, one hundred sixty-four thousand, two hundred seventy-two".