135332499456 has 780 divisors, whose sum is σ = 501074923440. Its totient is φ = 34898411520.

The previous prime is 135332499439. The next prime is 135332499473. The reversal of 135332499456 is 654994233531.

135332499456 is a `hidden beast` number, since 1 + 353 + 3 + 249 + 9 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (135332499439) and next prime (135332499473).

Its product of digits (10497600) is a multiple of the sum of its prime divisors (162).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 973615035 + ... + 973615173.

It is an arithmetic number, because the mean of its divisors is an integer number (642403748).

Almost surely, 2^135332499456 is an apocalyptic number.

135332499456 is a gapful number since it is divisible by the number (16) 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 135332499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250537461720).

135332499456 is an abundant number, since it is smaller than the sum of its proper divisors (365742423984).

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

135332499456 is an equidigital number, since it uses as much as digits as its factorization.

135332499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 162 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 135332499456 in words is "one hundred thirty-five billion, three hundred thirty-two million, four hundred ninety-nine thousand, four hundred fifty-six".