134229176640 has 672 divisors, whose sum is σ = 543517019136. Its totient is φ = 30089871360.

The previous prime is 134229176621. The next prime is 134229176659. The reversal of 134229176640 is 46671922431.

134229176640 is a `hidden beast` number, since 13 + 422 + 9 + 176 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (134229176621) and next prime (134229176659).

It is a super-2 number, since 2×134229176640² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19727479 + ... + 19734281.

It is an arithmetic number, because the mean of its divisors is an integer number (808805088).

Almost surely, 2^134229176640 is an apocalyptic number.

134229176640 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 134229176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271758509568).

134229176640 is an abundant number, since it is smaller than the sum of its proper divisors (409287842496).

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

134229176640 is a wasteful number, since it uses less digits than its factorization.

134229176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6887 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 134229176640 in words is "one hundred thirty-four billion, two hundred twenty-nine million, one hundred seventy-six thousand, six hundred forty".