135038016000 has 960 divisors, whose sum is σ = 532104693120. Its totient is φ = 34040217600.

The previous prime is 135038015999. The next prime is 135038016017. The reversal of 135038016000 is 610830531.

135038016000 is a `hidden beast` number, since 1 + 3 + 50 + 3 + 8 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 295487772 + ... + 295488228.

It is an arithmetic number, because the mean of its divisors is an integer number (554275722).

Almost surely, 2^135038016000 is an apocalyptic number.

135038016000 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 135038016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266052346560).

135038016000 is an abundant number, since it is smaller than the sum of its proper divisors (397066677120).

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

135038016000 is an frugal number, since it uses more digits than its factorization.

135038016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 135038016000 its reverse (610830531), we get a palindrome (135648846531).

The spelling of 135038016000 in words is "one hundred thirty-five billion, thirty-eight million, sixteen thousand".