133873093440 has 448 divisors, whose sum is σ = 498952235520. Its totient is φ = 34143234048.

The previous prime is 133873093427. The next prime is 133873093469. The reversal of 133873093440 is 44390378331.

It is a happy number.

133873093440 is a `hidden beast` number, since 1 + 338 + 7 + 309 + 3 + 4 + 4 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16092162 + ... + 16100478.

Almost surely, 2^133873093440 is an apocalyptic number.

133873093440 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 133873093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249476117760).

133873093440 is an abundant number, since it is smaller than the sum of its proper divisors (365079142080).

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

133873093440 is an frugal number, since it uses more digits than its factorization.

133873093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 133873093440 in words is "one hundred thirty-three billion, eight hundred seventy-three million, ninety-three thousand, four hundred forty".