133755948 has 144 divisors (see below), whose sum is σ = 379631616. Its totient is φ = 41057280.

The previous prime is 133755913. The next prime is 133755961. The reversal of 133755948 is 849557331.

Its product of digits (453600) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692940 + ... + 693132.

Almost surely, 2^133755948 is an apocalyptic number.

133755948 is a gapful number since it is divisible by the number (18) 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 133755948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189815808).

133755948 is an abundant number, since it is smaller than the sum of its proper divisors (245875668).

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

133755948 is a wasteful number, since it uses less digits than its factorization.

133755948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 133755948 is about 11565.2906578261. The cubic root of 133755948 is about 511.4121416680.

The spelling of 133755948 in words is "one hundred thirty-three million, seven hundred fifty-five thousand, nine hundred forty-eight".