134506320514240 has 224 divisors, whose sum is σ = 325326483630720. Its totient is φ = 52964738727936.

The previous prime is 134506320514219. The next prime is 134506320514249. The reversal of 134506320514240 is 42415023605431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134506320514193 and 134506320514202.

It is not an unprimeable number, because it can be changed into a prime (134506320514249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3204875976 + ... + 3204917944.

Almost surely, 2^{134506320514240} is an apocalyptic number.

134506320514240 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 134506320514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162663241815360).

134506320514240 is an abundant number, since it is smaller than the sum of its proper divisors (190820163116480).

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

134506320514240 is a wasteful number, since it uses less digits than its factorization.

134506320514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42699 (or 42689 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 134506320514240 in words is "one hundred thirty-four trillion, five hundred six billion, three hundred twenty million, five hundred fourteen thousand, two hundred forty".