134031505440 has 768 divisors, whose sum is σ = 526205030400. Its totient is φ = 27992604672.

The previous prime is 134031505427. The next prime is 134031505483. The reversal of 134031505440 is 44505130431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134031505398 and 134031505407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422812162 + ... + 422812478.

It is an arithmetic number, because the mean of its divisors is an integer number (685162800).

Almost surely, 2^134031505440 is an apocalyptic number.

134031505440 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 134031505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263102515200).

134031505440 is an abundant number, since it is smaller than the sum of its proper divisors (392173524960).

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

134031505440 is a wasteful number, since it uses less digits than its factorization.

134031505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 134031505440 its reverse (44505130431), we get a palindrome (178536635871).

The spelling of 134031505440 in words is "one hundred thirty-four billion, thirty-one million, five hundred five thousand, four hundred forty".