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134991792 = 2433132432
BaseRepresentation
bin10000000101111…
…00111110110000
3100102000021221000
420002330332300
5234024214132
621221202000
73226261035
oct1002747660
9312007830
10134991792
116a221371
1239260300
1321c75900
1413cdd38c
15bcb787c
hex80bcfb0

134991792 has 180 divisors, whose sum is σ = 429559560. Its totient is φ = 40569984.

The previous prime is 134991757. The next prime is 134991793. The reversal of 134991792 is 297199431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (134991793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3139323 + ... + 3139365.

It is an arithmetic number, because the mean of its divisors is an integer number (2386442).

Almost surely, 2134991792 is an apocalyptic number.

134991792 is a gapful number since it is divisible by the number (12) 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 134991792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214779780).

134991792 is an abundant number, since it is smaller than the sum of its proper divisors (294567768).

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

134991792 is a wasteful number, since it uses less digits than its factorization.

134991792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 61 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 134991792 is about 11618.5968171720. The cubic root of 134991792 is about 512.9823871385.

The spelling of 134991792 in words is "one hundred thirty-four million, nine hundred ninety-one thousand, seven hundred ninety-two".