134629414920 has 1728 divisors, whose sum is σ = 641536459200. Its totient is φ = 24002334720.

The previous prime is 134629414897. The next prime is 134629414937. The reversal of 134629414920 is 29414926431.

134629414920 is a `hidden beast` number, since 1 + 3 + 4 + 629 + 4 + 14 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×134629414920³ (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2540177614 + ... + 2540177666.

It is an arithmetic number, because the mean of its divisors is an integer number (371259525).

Almost surely, 2^134629414920 is an apocalyptic number.

134629414920 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 134629414920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320768229600).

134629414920 is an abundant number, since it is smaller than the sum of its proper divisors (506907044280).

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

134629414920 is a wasteful number, since it uses less digits than its factorization.

134629414920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 134629414920 in words is "one hundred thirty-four billion, six hundred twenty-nine million, four hundred fourteen thousand, nine hundred twenty".