135242054040000 has 560 divisors, whose sum is σ = 454041115434368. Its totient is φ = 35508616704000.

The previous prime is 135242054039999. The next prime is 135242054040013. The reversal of 135242054040000 is 40450242531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 135242054040000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27118917507 + ... + 27118922493.

Almost surely, 2^{135242054040000} is an apocalyptic number.

135242054040000 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 135242054040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227020557717184).

135242054040000 is an abundant number, since it is smaller than the sum of its proper divisors (318799061394368).

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

135242054040000 is an equidigital number, since it uses as much as digits as its factorization.

135242054040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8462 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 135242054040000 in words is "one hundred thirty-five trillion, two hundred forty-two billion, fifty-four million, forty thousand".