133144343231400 has 72 divisors (see below), whose sum is σ = 447143086024830. Its totient is φ = 35505158194560.

The previous prime is 133144343231381. The next prime is 133144343231443. The reversal of 133144343231400 is 4132343441331.

133144343231400 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 44 + 343 + 231 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 52008530349636 + 81135812881764 = 7211694^2 + 9007542^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×133144343231400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36984537987 + ... + 36984541586.

Almost surely, 2^{133144343231400} is an apocalyptic number.

133144343231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133144343231400 is an abundant number, since it is smaller than the sum of its proper divisors (313998742793430).

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

133144343231400 is a wasteful number, since it uses less digits than its factorization.

133144343231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73969079595 (or 73969079583 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 133144343231400 its reverse (4132343441331), we get a palindrome (137276686672731).

The spelling of 133144343231400 in words is "one hundred thirty-three trillion, one hundred forty-four billion, three hundred forty-three million, two hundred thirty-one thousand, four hundred".