134988541632000 has 2560 divisors, whose sum is σ = 584738602905600. Its totient is φ = 30061559808000.

The previous prime is 134988541631989. The next prime is 134988541632083. The reversal of 134988541632000 is 236145889431.

It is a happy number.

134988541632000 is a `hidden beast` number, since 1 + 3 + 4 + 98 + 8 + 541 + 6 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-4 number, since 4×134988541632000⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83377727191 + ... + 83377728809.

It is an arithmetic number, because the mean of its divisors is an integer number (228413516760).

Almost surely, 2^{134988541632000} is an apocalyptic number.

134988541632000 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 134988541632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292369301452800).

134988541632000 is an abundant number, since it is smaller than the sum of its proper divisors (449750061273600).

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

134988541632000 is a wasteful number, since it uses less digits than its factorization.

134988541632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 134988541632000 in words is "one hundred thirty-four trillion, nine hundred eighty-eight billion, five hundred forty-one million, six hundred thirty-two thousand".