133214298470400 has 1152 divisors, whose sum is σ = 517131276480000. Its totient is φ = 29622943088640.

The previous prime is 133214298470389. The next prime is 133214298470411. The reversal of 133214298470400 is 4074892412331.

It is an interprime number because it is at equal distance from previous prime (133214298470389) and next prime (133214298470411).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 133214298470400.

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, 6153358776 + ... + 6153380424.

It is an arithmetic number, because the mean of its divisors is an integer number (448898677500).

Almost surely, 2^{133214298470400} is an apocalyptic number.

133214298470400 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 133214298470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258565638240000).

133214298470400 is an abundant number, since it is smaller than the sum of its proper divisors (383916978009600).

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

133214298470400 is a wasteful number, since it uses less digits than its factorization.

133214298470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21847 (or 21822 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 133214298470400 in words is "one hundred thirty-three trillion, two hundred fourteen billion, two hundred ninety-eight million, four hundred seventy thousand, four hundred".