137321140 has 48 divisors (see below), whose sum is σ = 315524160. Its totient is φ = 49786880.

The previous prime is 137321137. The next prime is 137321141. The reversal of 137321140 is 41123731.

137321140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321141) 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, 96756 + ... + 98164.

It is an arithmetic number, because the mean of its divisors is an integer number (6573420).

Almost surely, 2^137321140 is an apocalyptic number.

137321140 is a gapful number since it is divisible by the number (10) 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 137321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157762080).

137321140 is an abundant number, since it is smaller than the sum of its proper divisors (178203020).

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

137321140 is a wasteful number, since it uses less digits than its factorization.

137321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 137321140 is about 11718.4103017432. The cubic root of 137321140 is about 515.9161622900.

Adding to 137321140 its reverse (41123731), we get a palindrome (178444871).

The spelling of 137321140 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, one hundred forty".