135497748672000 has 4480 divisors, whose sum is σ = 621717629524992. Its totient is φ = 28970016768000.

The previous prime is 135497748671969. The next prime is 135497748672017. The reversal of 135497748672000 is 276847794531.

135497748672000 is a `hidden beast` number, since 1 + 3 + 5 + 497 + 74 + 8 + 6 + 72 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 153451583559 + ... + 153451584441.

It is a 1-persistent number, because it is pandigital, but 2⋅135497748672000 = 270995497344000 is not.

Almost surely, 2^{135497748672000} is an apocalyptic number.

135497748672000 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 135497748672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310858814762496).

135497748672000 is an abundant number, since it is smaller than the sum of its proper divisors (486219880852992).

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

135497748672000 is an equidigital number, since it uses as much as digits as its factorization.

135497748672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 135497748672000 in words is "one hundred thirty-five trillion, four hundred ninety-seven billion, seven hundred forty-eight million, six hundred seventy-two thousand".