134142432 has 96 divisors (see below), whose sum is σ = 373403520. Its totient is φ = 42048000.

The previous prime is 134142419. The next prime is 134142433. The reversal of 134142432 is 234241431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×134142432³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2304) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134142433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457678 + ... + 457970.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^134142432 is an apocalyptic number.

134142432 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 134142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186701760).

134142432 is an abundant number, since it is smaller than the sum of its proper divisors (239261088).

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

134142432 is a wasteful number, since it uses less digits than its factorization.

134142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 134142432 is about 11581.9873942256. The cubic root of 134142432 is about 511.9042382753.

Adding to 134142432 its reverse (234241431), we get a palindrome (368383863).

The spelling of 134142432 in words is "one hundred thirty-four million, one hundred forty-two thousand, four hundred thirty-two".