133677420672 has 64 divisors (see below), whose sum is σ = 355644020160. Its totient is φ = 44488442880.

The previous prime is 133677420649. The next prime is 133677420673. The reversal of 133677420672 is 276024776331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (133677420673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33543 + ... + 518150.

It is an arithmetic number, because the mean of its divisors is an integer number (5556937815).

Almost surely, 2^133677420672 is an apocalyptic number.

133677420672 is a gapful number since it is divisible by the number (12) 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 133677420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177822010080).

133677420672 is an abundant number, since it is smaller than the sum of its proper divisors (221966599488).

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

133677420672 is an equidigital number, since it uses as much as digits as its factorization.

133677420672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552341 (or 552329 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 133677420672 in words is "one hundred thirty-three billion, six hundred seventy-seven million, four hundred twenty thousand, six hundred seventy-two".