135590640 has 160 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 33656832.

The previous prime is 135590639. The next prime is 135590641. The reversal of 135590640 is 46095531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135590639) and next prime (135590641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135590641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681261 + ... + 681459.

It is an arithmetic number, because the mean of its divisors is an integer number (2812320).

Almost surely, 2^135590640 is an apocalyptic number.

135590640 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 135590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

135590640 is an abundant number, since it is smaller than the sum of its proper divisors (314380560).

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

135590640 is a wasteful number, since it uses less digits than its factorization.

135590640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135590640 is about 11644.3393973209. The cubic root of 135590640 is about 513.7398290679.

The spelling of 135590640 in words is "one hundred thirty-five million, five hundred ninety thousand, six hundred forty".