134167664400 has 360 divisors, whose sum is σ = 545405386464. Its totient is φ = 27878860800.

The previous prime is 134167664387. The next prime is 134167664413. The reversal of 134167664400 is 4466761431.

It is an interprime number because it is at equal distance from previous prime (134167664387) and next prime (134167664413).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 543084 + ... + 750516.

Almost surely, 2^134167664400 is an apocalyptic number.

134167664400 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 134167664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272702693232).

134167664400 is an abundant number, since it is smaller than the sum of its proper divisors (411237722064).

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

134167664400 is a wasteful number, since it uses less digits than its factorization.

134167664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207479 (or 207461 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 134167664400 in words is "one hundred thirty-four billion, one hundred sixty-seven million, six hundred sixty-four thousand, four hundred".