134540808480 has 288 divisors, whose sum is σ = 510389268480. Its totient is φ = 32049285120.

The previous prime is 134540808469. The next prime is 134540808491. The reversal of 134540808480 is 84808045431.

134540808480 is a `hidden beast` number, since 13 + 45 + 40 + 80 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (134540808469) and next prime (134540808491).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464401 + ... + 696239.

It is an arithmetic number, because the mean of its divisors is an integer number (1772184960).

Almost surely, 2^134540808480 is an apocalyptic number.

134540808480 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 134540808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255194634240).

134540808480 is an abundant number, since it is smaller than the sum of its proper divisors (375848460000).

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

134540808480 is a wasteful number, since it uses less digits than its factorization.

134540808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231904 (or 231893 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 134540808480 in words is "one hundred thirty-four billion, five hundred forty million, eight hundred eight thousand, four hundred eighty".