135837000 has 384 divisors, whose sum is σ = 524684160. Its totient is φ = 32659200.

The previous prime is 135836993. The next prime is 135837001. The reversal of 135837000 is 738531.

135837000 is a `hidden beast` number, since 13 + 583 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135837001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3158979 + ... + 3159021.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365).

Almost surely, 2^135837000 is an apocalyptic number.

135837000 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 135837000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

135837000 is an abundant number, since it is smaller than the sum of its proper divisors (388847160).

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

135837000 is a wasteful number, since it uses less digits than its factorization.

135837000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 135837000 is about 11654.9131270894. The cubic root of 135837000 is about 514.0507855567.

The spelling of 135837000 in words is "one hundred thirty-five million, eight hundred thirty-seven thousand".