135453452122440 has 96 divisors (see below), whose sum is σ = 445527619729920. Its totient is φ = 35685728744064.

The previous prime is 135453452122409. The next prime is 135453452122451. The reversal of 135453452122440 is 44221254354531.

135453452122440 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 5 + 34 + 52 + 122 + 440 = 666.

It is a super-2 number, since 2×135453452122440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2266594152 + ... + 2266653911.

It is an arithmetic number, because the mean of its divisors is an integer number (4640912705520).

Almost surely, 2^{135453452122440} is an apocalyptic number.

135453452122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135453452122440 is an abundant number, since it is smaller than the sum of its proper divisors (310074167607480).

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

135453452122440 is a wasteful number, since it uses less digits than its factorization.

135453452122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533248163 (or 4533248156 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 135453452122440 in words is "one hundred thirty-five trillion, four hundred fifty-three billion, four hundred fifty-two million, one hundred twenty-two thousand, four hundred forty".