104134451325520 has 640 divisors, whose sum is σ = 334491722588160. Its totient is φ = 29151909642240.

The previous prime is 104134451325461. The next prime is 104134451325563. The reversal of 104134451325520 is 25523154431401.

It is a super-3 number, since 3×104134451325520³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

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, 304015792 + ... + 304358128.

It is an arithmetic number, because the mean of its divisors is an integer number (522643316544).

Almost surely, 2^{104134451325520} is an apocalyptic number.

104134451325520 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 104134451325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167245861294080).

104134451325520 is an abundant number, since it is smaller than the sum of its proper divisors (230357271262640).

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

104134451325520 is a wasteful number, since it uses less digits than its factorization.

104134451325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342523 (or 342517 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 104134451325520 in words is "one hundred four trillion, one hundred thirty-four billion, four hundred fifty-one million, three hundred twenty-five thousand, five hundred twenty".