134429967360 has 1408 divisors, whose sum is σ = 563439206400. Its totient is φ = 30098718720.

The previous prime is 134429967307. The next prime is 134429967361. The reversal of 134429967360 is 63769924431.

It is a happy number.

134429967360 is a `hidden beast` number, since 1 + 3 + 4 + 429 + 96 + 73 + 60 = 666.

It is a super-2 number, since 2×134429967360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 134429967297 and 134429967306.

It is not an unprimeable number, because it can be changed into a prime (134429967361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058503617 + ... + 1058503743.

Almost surely, 2^134429967360 is an apocalyptic number.

134429967360 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 134429967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281719603200).

134429967360 is an abundant number, since it is smaller than the sum of its proper divisors (429009239040).

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

134429967360 is a wasteful number, since it uses less digits than its factorization.

134429967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 134429967360 in words is "one hundred thirty-four billion, four hundred twenty-nine million, nine hundred sixty-seven thousand, three hundred sixty".