134701038088320 has 512 divisors, whose sum is σ = 475391374997760. Its totient is φ = 32167939276800.

The previous prime is 134701038088313. The next prime is 134701038088349. The reversal of 134701038088320 is 23880830107431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134701038088320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265731752 + ... + 1265838168.

Almost surely, 2^{134701038088320} is an apocalyptic number.

134701038088320 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 134701038088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237695687498880).

134701038088320 is an abundant number, since it is smaller than the sum of its proper divisors (340690336909440).

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

134701038088320 is a wasteful number, since it uses less digits than its factorization.

134701038088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107344 (or 107332 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 134701038088320 in words is "one hundred thirty-four trillion, seven hundred one billion, thirty-eight million, eighty-eight thousand, three hundred twenty".