135645286141440 has 280 divisors, whose sum is σ = 487623092488488. Its totient is φ = 36172075806720.

The previous prime is 135645286141423. The next prime is 135645286141457. The reversal of 135645286141440 is 44141682546531.

135645286141440 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 4 + 5 + 2 + 8 + 614 + 14 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135645286141423) and next prime (135645286141457).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 34475626 + ... + 38208105.

Almost surely, 2^{135645286141440} is an apocalyptic number.

135645286141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135645286141440 is an abundant number, since it is smaller than the sum of its proper divisors (351977806347048).

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

135645286141440 is an frugal number, since it uses more digits than its factorization.

135645286141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72683772 (or 72683741 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 135645286141440 in words is "one hundred thirty-five trillion, six hundred forty-five billion, two hundred eighty-six million, one hundred forty-one thousand, four hundred forty".