134721920025408 has 896 divisors, whose sum is σ = 401499141120000. Its totient is φ = 39670358999040.

The previous prime is 134721920025389. The next prime is 134721920025409. The reversal of 134721920025408 is 804520029127431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134721920025409) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 267836818885 + ... + 267836819387.

It is an arithmetic number, because the mean of its divisors is an integer number (448101720000).

Almost surely, 2^{134721920025408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134721920025408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200749570560000).

134721920025408 is an abundant number, since it is smaller than the sum of its proper divisors (266777221094592).

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

134721920025408 is a wasteful number, since it uses less digits than its factorization.

134721920025408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 134721920025408 in words is "one hundred thirty-four trillion, seven hundred twenty-one billion, nine hundred twenty million, twenty-five thousand, four hundred eight".