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134355840 = 27351929127
BaseRepresentation
bin10000000001000…
…01101110000000
3100100210222120020
420000201232000
5233343341330
621155413440
73221001663
oct1000415600
9310728506
10134355840
1169927593
1238bb4280
1321ab22c8
1413bb56da
15bbde210
hex8021b80

134355840 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 32514048.

The previous prime is 134355839. The next prime is 134355841. The reversal of 134355840 is 48553431.

It is an interprime number because it is at equal distance from previous prime (134355839) and next prime (134355841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134355841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1057857 + ... + 1057983.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2134355840 is an apocalyptic number.

134355840 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 134355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

134355840 is an abundant number, since it is smaller than the sum of its proper divisors (335660160).

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

134355840 is a wasteful number, since it uses less digits than its factorization.

134355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 134355840 is about 11591.1966595343. The cubic root of 134355840 is about 512.1755582860.

The spelling of 134355840 in words is "one hundred thirty-four million, three hundred fifty-five thousand, eight hundred forty".