133142625 has 192 divisors, whose sum is σ = 315394560. Its totient is φ = 52416000.

The previous prime is 133142617. The next prime is 133142627. The reversal of 133142625 is 526241331.

133142625 is a `hidden beast` number, since 1 + 3 + 31 + 4 + 2 + 625 = 666.

It is not a de Polignac number, because 133142625 - 2³ = 133142617 is a prime.

Its product of digits (4320) is a multiple of the sum of its prime divisors (108).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133142627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2512099 + ... + 2512151.

It is an arithmetic number, because the mean of its divisors is an integer number (1642680).

Almost surely, 2^133142625 is an apocalyptic number.

133142625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133142625 is an abundant number, since it is smaller than the sum of its proper divisors (182251935).

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

133142625 is a wasteful number, since it uses less digits than its factorization.

133142625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 133142625 is about 11538.7445157608. The cubic root of 133142625 is about 510.6292693855.

Adding to 133142625 its reverse (526241331), we get a palindrome (659383956).

It can be divided in two parts, 1331 and 42625, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 133142625 in words is "one hundred thirty-three million, one hundred forty-two thousand, six hundred twenty-five".