135213750 has 240 divisors, whose sum is σ = 447381792. Its totient is φ = 28800000.

The previous prime is 135213679. The next prime is 135213761. The reversal of 135213750 is 57312531.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1338700 + ... + 1338800.

Almost surely, 2^135213750 is an apocalyptic number.

135213750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135213750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223690896).

135213750 is an abundant number, since it is smaller than the sum of its proper divisors (312168042).

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

135213750 is a wasteful number, since it uses less digits than its factorization.

135213750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135213750 is about 11628.1447359413. The cubic root of 135213750 is about 513.2633874263.

It can be divided in two parts, 13521 and 3750, that added together give a palindrome (17271).

The spelling of 135213750 in words is "one hundred thirty-five million, two hundred thirteen thousand, seven hundred fifty".