134431297920 has 512 divisors, whose sum is σ = 498628224000. Its totient is φ = 34164523008.

The previous prime is 134431297883. The next prime is 134431297927. The reversal of 134431297920 is 29792134431.

134431297920 is a `hidden beast` number, since 13 + 443 + 129 + 79 + 2 + 0 = 666.

It is a super-3 number, since 3×134431297920³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134431297927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162552547 + ... + 162553373.

It is an arithmetic number, because the mean of its divisors is an integer number (973883250).

Almost surely, 2^134431297920 is an apocalyptic number.

134431297920 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 134431297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249314112000).

134431297920 is an abundant number, since it is smaller than the sum of its proper divisors (364196926080).

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

134431297920 is a wasteful number, since it uses less digits than its factorization.

134431297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 134431297920 in words is "one hundred thirty-four billion, four hundred thirty-one million, two hundred ninety-seven thousand, nine hundred twenty".