137134100 has 36 divisors (see below), whose sum is σ = 302472828. Its totient is φ = 53952000.

The previous prime is 137134079. The next prime is 137134103. The reversal of 137134100 is 1431731.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 61999876 + 75134224 = 7874^2 + 8668^2 .

It is a super-2 number, since 2×137134100² = 37611522765620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137134103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5141 + ... + 17340.

It is an arithmetic number, because the mean of its divisors is an integer number (8402023).

Almost surely, 2^137134100 is an apocalyptic number.

137134100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137134100 is an abundant number, since it is smaller than the sum of its proper divisors (165338728).

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

137134100 is a wasteful number, since it uses less digits than its factorization.

137134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22556 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 137134100 is about 11710.4269776981. The cubic root of 137134100 is about 515.6818191442.

Adding to 137134100 its reverse (1431731), we get a palindrome (138565831).

The spelling of 137134100 in words is "one hundred thirty-seven million, one hundred thirty-four thousand, one hundred".