135371000 has 64 divisors (see below), whose sum is σ = 335443680. Its totient is φ = 50956800.

The previous prime is 135370999. The next prime is 135371023. The reversal of 135371000 is 173531.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13019 + ... + 20981.

Almost surely, 2^135371000 is an apocalyptic number.

135371000 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 135371000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167721840).

135371000 is an abundant number, since it is smaller than the sum of its proper divisors (200072680).

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

135371000 is a wasteful number, since it uses less digits than its factorization.

135371000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 135371000 is about 11634.9043829333. The cubic root of 135371000 is about 513.4622809061.

The spelling of 135371000 in words is "one hundred thirty-five million, three hundred seventy-one thousand".