134468640 has 192 divisors, whose sum is σ = 498597120. Its totient is φ = 33730560.

The previous prime is 134468639. The next prime is 134468641. The reversal of 134468640 is 46864431.

134468640 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 6 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (134468639) and next prime (134468641).

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 = 134468595 and 134468604.

It is not an unprimeable number, because it can be changed into a prime (134468641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72525 + ... + 74355.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 2^134468640 is an apocalyptic number.

134468640 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 134468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249298560).

134468640 is an abundant number, since it is smaller than the sum of its proper divisors (364128480).

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

134468640 is a wasteful number, since it uses less digits than its factorization.

134468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 134468640 is about 11596.0614003204. The cubic root of 134468640 is about 512.3188524974.

It can be divided in two parts, 1 and 34468640, that added together give a square (34468641 = 5871²).

The spelling of 134468640 in words is "one hundred thirty-four million, four hundred sixty-eight thousand, six hundred forty".