134493937507008 has 392 divisors, whose sum is σ = 405668551201280. Its totient is φ = 44213926049280.

The previous prime is 134493937507003. The next prime is 134493937507019. The reversal of 134493937507008 is 800705739394431.

It is a happy number.

134493937507008 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 93 + 9 + 37 + 507 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×134493937507008² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134493937507003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3343022253 + ... + 3343062483.

Almost surely, 2^{134493937507008} is an apocalyptic number.

134493937507008 is a gapful number since it is divisible by the number (18) 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 134493937507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202834275600640).

134493937507008 is an abundant number, since it is smaller than the sum of its proper divisors (271174613694272).

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

134493937507008 is an frugal number, since it uses more digits than its factorization.

134493937507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41247 (or 41222 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 134493937507008 in words is "one hundred thirty-four trillion, four hundred ninety-three billion, nine hundred thirty-seven million, five hundred seven thousand, eight".