134829152640 has 1152 divisors, whose sum is σ = 605302981920. Its totient is φ = 28426567680.

The previous prime is 134829152639. The next prime is 134829152687. The reversal of 134829152640 is 46251928431.

134829152640 is a `hidden beast` number, since 1 + 3 + 4 + 82 + 9 + 1 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99065560 + ... + 99066920.

Almost surely, 2^134829152640 is an apocalyptic number.

134829152640 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 134829152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302651490960).

134829152640 is an abundant number, since it is smaller than the sum of its proper divisors (470473829280).

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

134829152640 is a wasteful number, since it uses less digits than its factorization.

134829152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 134829152640 in words is "one hundred thirty-four billion, eight hundred twenty-nine million, one hundred fifty-two thousand, six hundred forty".