137113200 has 180 divisors, whose sum is σ = 543895248. Its totient is φ = 31334400.

The previous prime is 137113127. The next prime is 137113201. The reversal of 137113200 is 2311731.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×137113200² = 37600059228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137113201) 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 35 ways as a sum of consecutive naturals, for example, 22480 + ... + 27920.

Almost surely, 2^137113200 is an apocalyptic number.

137113200 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 137113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271947624).

137113200 is an abundant number, since it is smaller than the sum of its proper divisors (406782048).

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

137113200 is a wasteful number, since it uses less digits than its factorization.

137113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 137113200 is about 11709.5345765748. The cubic root of 137113200 is about 515.6556202202.

Adding to 137113200 its reverse (2311731), we get a palindrome (139424931).

The spelling of 137113200 in words is "one hundred thirty-seven million, one hundred thirteen thousand, two hundred".