135792513612000 has 1152 divisors, whose sum is σ = 575252365484160. Its totient is φ = 31023820800000.

The previous prime is 135792513611999. The next prime is 135792513612059. The reversal of 135792513612000 is 216315297531.

135792513612000 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 9 + 2 + 513 + 6 + 120 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14822887420 + ... + 14822896580.

It is an arithmetic number, because the mean of its divisors is an integer number (499351011705).

Almost surely, 2^{135792513612000} is an apocalyptic number.

135792513612000 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 135792513612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287626182742080).

135792513612000 is an abundant number, since it is smaller than the sum of its proper divisors (439459851872160).

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

135792513612000 is a wasteful number, since it uses less digits than its factorization.

135792513612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 135792513612000 in words is "one hundred thirty-five trillion, seven hundred ninety-two billion, five hundred thirteen million, six hundred twelve thousand".