134528643600 has 240 divisors, whose sum is σ = 471700684224. Its totient is φ = 32571648000.

The previous prime is 134528643583. The next prime is 134528643611. The reversal of 134528643600 is 6346825431.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880915 + ... + 1022285.

Almost surely, 2^134528643600 is an apocalyptic number.

134528643600 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 134528643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235850342112).

134528643600 is an abundant number, since it is smaller than the sum of its proper divisors (337172040624).

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

134528643600 is a wasteful number, since it uses less digits than its factorization.

134528643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141466 (or 141455 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

It can be divided in two parts, 134528 and 643600, that added together give a triangular number (778128 = T₁₂₄₇).

The spelling of 134528643600 in words is "one hundred thirty-four billion, five hundred twenty-eight million, six hundred forty-three thousand, six hundred".