137286900 has 180 divisors, whose sum is σ = 471680748. Its totient is φ = 34421760.

The previous prime is 137286893. The next prime is 137286937. The reversal of 137286900 is 9682731.

137286900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 5817744 + 131469156 = 2412^2 + 11466^2 .

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

It is a super-2 number, since 2×137286900² = 37695385823220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 137202 + ... + 138198.

Almost surely, 2^137286900 is an apocalyptic number.

137286900 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 137286900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235840374).

137286900 is an abundant number, since it is smaller than the sum of its proper divisors (334393848).

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

137286900 is a wasteful number, since it uses less digits than its factorization.

137286900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137286900 is about 11716.9492616466. The cubic root of 137286900 is about 515.8732787791.

The spelling of 137286900 in words is "one hundred thirty-seven million, two hundred eighty-six thousand, nine hundred".