135962280 has 192 divisors, whose sum is σ = 471873600. Its totient is φ = 34819200.

The previous prime is 135962279. The next prime is 135962293. The reversal of 135962280 is 82269531.

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

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037815 + ... + 1037945.

It is an arithmetic number, because the mean of its divisors is an integer number (2457675).

Almost surely, 2^135962280 is an apocalyptic number.

135962280 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 135962280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235936800).

135962280 is an abundant number, since it is smaller than the sum of its proper divisors (335911320).

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

135962280 is a wasteful number, since it uses less digits than its factorization.

135962280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135962280 is about 11660.2864458812. The cubic root of 135962280 is about 514.2087702347.

It can be divided in two parts, 13596 and 2280, that added together give a square (15876 = 126²).

The spelling of 135962280 in words is "one hundred thirty-five million, nine hundred sixty-two thousand, two hundred eighty".