137313100 has 72 divisors (see below), whose sum is σ = 309073968. Its totient is φ = 52915200.

The previous prime is 137313079. The next prime is 137313109. The reversal of 137313100 is 1313731.

It is a happy number.

137313100 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-2 number, since 2×137313100² = 37709774863220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438544 + ... + 438856.

It is an arithmetic number, because the mean of its divisors is an integer number (4292694).

Almost surely, 2^137313100 is an apocalyptic number.

137313100 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 137313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154536984).

137313100 is an abundant number, since it is smaller than the sum of its proper divisors (171760868).

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

137313100 is a wasteful number, since it uses less digits than its factorization.

137313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 137313100 is about 11718.0672467775. The cubic root of 137313100 is about 515.9060933210.

Adding to 137313100 its reverse (1313731), we get a palindrome (138626831).

The spelling of 137313100 in words is "one hundred thirty-seven million, three hundred thirteen thousand, one hundred".