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134935416 = 233372111961
BaseRepresentation
bin10000000101011…
…11001101111000
3100101220102121000
420002233031320
5234020413131
621220045000
73225634500
oct1002571570
9311812530
10134935416
116a192a80
1239233760
1321c56055
1413cc6a00
15bca5ce6
hex80af378

134935416 has 384 divisors, whose sum is σ = 508896000. Its totient is φ = 32659200.

The previous prime is 134935393. The next prime is 134935417. The reversal of 134935416 is 614539431.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134935417) 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 95 ways as a sum of consecutive naturals, for example, 2212026 + ... + 2212086.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 2134935416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134935416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

134935416 is an abundant number, since it is smaller than the sum of its proper divisors (373960584).

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

134935416 is a wasteful number, since it uses less digits than its factorization.

134935416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 134935416 is about 11616.1704532948. The cubic root of 134935416 is about 512.9109657050.

The spelling of 134935416 in words is "one hundred thirty-four million, nine hundred thirty-five thousand, four hundred sixteen".