135524623050 has 144 divisors (see below), whose sum is σ = 395948186712. Its totient is φ = 33094656000.

The previous prime is 135524623019. The next prime is 135524623057. The reversal of 135524623050 is 50326425531.

135524623050 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 24 + 623 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 51545799369 + 83978823681 = 227037^2 + 289791^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135524622996 and 135524623014.

It is not an unprimeable number, because it can be changed into a prime (135524623057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43650 + ... + 522450.

Almost surely, 2^135524623050 is an apocalyptic number.

135524623050 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 135524623050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197974093356).

135524623050 is an abundant number, since it is smaller than the sum of its proper divisors (260423563662).

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

135524623050 is a wasteful number, since it uses less digits than its factorization.

135524623050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478873 (or 478865 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 135524623050 in words is "one hundred thirty-five billion, five hundred twenty-four million, six hundred twenty-three thousand, fifty".