135654497280 has 528 divisors, whose sum is σ = 492486583680. Its totient is φ = 35801284608.

The previous prime is 135654497269. The next prime is 135654497339. The reversal of 135654497280 is 82794456531.

It is a happy number.

135654497280 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 544 + 97 + 2 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133124611 + ... + 133125629.

It is a 2-persistent number, because it is pandigital, and so is 2⋅135654497280 = 271308994560, but 3⋅135654497280 = 406963491840 is not.

Almost surely, 2^135654497280 is an apocalyptic number.

135654497280 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 135654497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246243291840).

135654497280 is an abundant number, since it is smaller than the sum of its proper divisors (356832086400).

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

135654497280 is a wasteful number, since it uses less digits than its factorization.

135654497280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 135654497280 in words is "one hundred thirty-five billion, six hundred fifty-four million, four hundred ninety-seven thousand, two hundred eighty".