135253522400 has 72 divisors (see below), whose sum is σ = 338241101184. Its totient is φ = 52781849600.

The previous prime is 135253522373. The next prime is 135253522421. The reversal of 135253522400 is 4225352531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2028992 + ... + 2094591.

It is an arithmetic number, because the mean of its divisors is an integer number (4697793072).

Almost surely, 2^135253522400 is an apocalyptic number.

135253522400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135253522400 is an abundant number, since it is smaller than the sum of its proper divisors (202987578784).

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

135253522400 is a wasteful number, since it uses less digits than its factorization.

135253522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123644 (or 4123631 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 135253522400 its reverse (4225352531), we get a palindrome (139478874931).

The spelling of 135253522400 in words is "one hundred thirty-five billion, two hundred fifty-three million, five hundred twenty-two thousand, four hundred".