135097380 has 216 divisors, whose sum is σ = 468441792. Its totient is φ = 31248000.

The previous prime is 135097363. The next prime is 135097387. The reversal of 135097380 is 83790531.

135097380 is a `hidden beast` number, since 1 + 3 + 509 + 73 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (135097387) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1902745 + ... + 1902815.

It is an arithmetic number, because the mean of its divisors is an integer number (2168712).

Almost surely, 2^135097380 is an apocalyptic number.

135097380 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 135097380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234220896).

135097380 is an abundant number, since it is smaller than the sum of its proper divisors (333344412).

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

135097380 is a wasteful number, since it uses less digits than its factorization.

135097380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 135097380 is about 11623.1398511762. The cubic root of 135097380 is about 513.1161006219.

The spelling of 135097380 in words is "one hundred thirty-five million, ninety-seven thousand, three hundred eighty".