133773840 has 60 divisors (see below), whose sum is σ = 449259564. Its totient is φ = 35672832.

The previous prime is 133773821. The next prime is 133773859. The reversal of 133773840 is 48377331.

It is an interprime number because it is at equal distance from previous prime (133773821) and next prime (133773859).

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 28259856 = 10272^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 133773795 and 133773804.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92179 + ... + 93618.

Almost surely, 2^133773840 is an apocalyptic number.

133773840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133773840 is an abundant number, since it is smaller than the sum of its proper divisors (315485724).

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

133773840 is a wasteful number, since it uses less digits than its factorization.

133773840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185816 (or 185807 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 133773840 is about 11566.0641533756. The cubic root of 133773840 is about 511.4349438392.

The spelling of 133773840 in words is "one hundred thirty-three million, seven hundred seventy-three thousand, eight hundred forty".