133955840 has 72 divisors (see below), whose sum is σ = 322972440. Its totient is φ = 53231616.

The previous prime is 133955837. The next prime is 133955851. The reversal of 133955840 is 48559331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 66846976 = 8192^2 + 8176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133955794 and 133955803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292892 + ... + 293348.

Almost surely, 2^133955840 is an apocalyptic number.

133955840 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 133955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161486220).

133955840 is an abundant number, since it is smaller than the sum of its proper divisors (189016600).

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

133955840 is an equidigital number, since it uses as much as digits as its factorization.

133955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 133955840 is about 11573.9293241319. The cubic root of 133955840 is about 511.6667753622. Note that the first 3 decimals are identical.

The spelling of 133955840 in words is "one hundred thirty-three million, nine hundred fifty-five thousand, eight hundred forty".