134629440 has 336 divisors, whose sum is σ = 502676160. Its totient is φ = 30412800.

The previous prime is 134629427. The next prime is 134629457. The reversal of 134629440 is 44926431.

It is a super-2 number, since 2×134629440² = 36250172229427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2207010 + ... + 2207070.

It is an arithmetic number, because the mean of its divisors is an integer number (1496060).

Almost surely, 2^134629440 is an apocalyptic number.

134629440 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 134629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338080).

134629440 is an abundant number, since it is smaller than the sum of its proper divisors (368046720).

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

134629440 is a wasteful number, since it uses less digits than its factorization.

134629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 134629440 is about 11602.9927173984. The cubic root of 134629440 is about 512.5229844937.

The spelling of 134629440 in words is "one hundred thirty-four million, six hundred twenty-nine thousand, four hundred forty".