134547840 has 384 divisors, whose sum is σ = 549918720. Its totient is φ = 29675520.

The previous prime is 134547839. The next prime is 134547841. The reversal of 134547840 is 48745431.

134547840 is a `hidden beast` number, since 1 + 34 + 547 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (134547839) and next prime (134547841).

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 134547795 and 134547804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134547841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895005 + ... + 1895075.

It is an arithmetic number, because the mean of its divisors is an integer number (1432080).

Almost surely, 2^134547840 is an apocalyptic number.

134547840 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 134547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274959360).

134547840 is an abundant number, since it is smaller than the sum of its proper divisors (415370880).

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

134547840 is a wasteful number, since it uses less digits than its factorization.

134547840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 134547840 is about 11599.4758502270. The cubic root of 134547840 is about 512.4194154479.

The spelling of 134547840 in words is "one hundred thirty-four million, five hundred forty-seven thousand, eight hundred forty".