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134095473540 = 223357235412851
BaseRepresentation
bin111110011100010110…
…1101000101110000100
3110211010100021212011000
41330320231220232010
54144111420123130
6141334055213300
712455003501310
oct1747055505604
9424110255130
10134095473540
1151962443006
1221ba4377230
13c850513662
1466c1392b40
15374c697260
hex1f38b68b84

134095473540 has 384 divisors, whose sum is σ = 498608087040. Its totient is φ = 29253312000.

The previous prime is 134095473467. The next prime is 134095473559. The reversal of 134095473540 is 45374590431.

134095473540 is a `hidden beast` number, since 1 + 3 + 40 + 95 + 473 + 54 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47033115 + ... + 47035965.

It is an arithmetic number, because the mean of its divisors is an integer number (1298458560).

Almost surely, 2134095473540 is an apocalyptic number.

134095473540 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 134095473540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249304043520).

134095473540 is an abundant number, since it is smaller than the sum of its proper divisors (364512613500).

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

134095473540 is a wasteful number, since it uses less digits than its factorization.

134095473540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 134095473540 in words is "one hundred thirty-four billion, ninety-five million, four hundred seventy-three thousand, five hundred forty".