135490272000 has 576 divisors, whose sum is σ = 484670729088. Its totient is φ = 33423360000.

The previous prime is 135490271971. The next prime is 135490272007. The reversal of 135490272000 is 272094531.

It is a super-2 number, since 2×135490272000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135490272007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99551320 + ... + 99552680.

It is an arithmetic number, because the mean of its divisors is an integer number (841442238).

Almost surely, 2^135490272000 is an apocalyptic number.

135490272000 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 135490272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242335364544).

135490272000 is an abundant number, since it is smaller than the sum of its proper divisors (349180457088).

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

135490272000 is a wasteful number, since it uses less digits than its factorization.

135490272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 135490272000 in words is "one hundred thirty-five billion, four hundred ninety million, two hundred seventy-two thousand".