135453424500 has 288 divisors, whose sum is σ = 469210734720. Its totient is φ = 33995635200.

The previous prime is 135453424409. The next prime is 135453424511. The reversal of 135453424500 is 5424354531.

135453424500 is a `hidden beast` number, since 1 + 3 + 54 + 534 + 24 + 50 + 0 = 666.

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, 2032711 + ... + 2098289.

It is an arithmetic number, because the mean of its divisors is an integer number (1629203940).

Almost surely, 2^135453424500 is an apocalyptic number.

135453424500 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 135453424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234605367360).

135453424500 is an abundant number, since it is smaller than the sum of its proper divisors (333757310220).

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

135453424500 is a wasteful number, since it uses less digits than its factorization.

135453424500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65630 (or 65606 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 135453424500 in words is "one hundred thirty-five billion, four hundred fifty-three million, four hundred twenty-four thousand, five hundred".