135642780 has 288 divisors, whose sum is σ = 519792000. Its totient is φ = 28619136.

The previous prime is 135642739. The next prime is 135642791. The reversal of 135642780 is 87246531.

135642780 is a `hidden beast` number, since 1 + 3 + 5 + 642 + 7 + 8 + 0 = 666.

135642780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135642780² = 36797927532256800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10434054 + ... + 10434066.

Almost surely, 2^135642780 is an apocalyptic number.

135642780 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 135642780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259896000).

135642780 is an abundant number, since it is smaller than the sum of its proper divisors (384149220).

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

135642780 is a wasteful number, since it uses less digits than its factorization.

135642780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135642780 is about 11646.5780382050. The cubic root of 135642780 is about 513.8056717690.

The spelling of 135642780 in words is "one hundred thirty-five million, six hundred forty-two thousand, seven hundred eighty".