135431940 has 96 divisors (see below), whose sum is σ = 443520000. Its totient is φ = 30231936.

The previous prime is 135431921. The next prime is 135431953. The reversal of 135431940 is 49134531.

135431940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135431898 and 135431907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14311 + ... + 21809.

It is an arithmetic number, because the mean of its divisors is an integer number (4620000).

Almost surely, 2^135431940 is an apocalyptic number.

135431940 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 135431940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

135431940 is an abundant number, since it is smaller than the sum of its proper divisors (308088060).

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

135431940 is a wasteful number, since it uses less digits than its factorization.

135431940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135431940 is about 11637.5229323082. The cubic root of 135431940 is about 513.5393178323.

The spelling of 135431940 in words is "one hundred thirty-five million, four hundred thirty-one thousand, nine hundred forty".