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133501420 = 225134631109
BaseRepresentation
bin1111111010100…
…01000111101100
3100022012120112001
413331101013230
5233134021140
621125222044
73210512653
oct775210754
9308176461
10133501420
11693a3658
1238861924
1321873430
1413a3219a
15bac0e9a
hex7f511ec

133501420 has 48 divisors (see below), whose sum is σ = 302843520. Its totient is φ = 49142016.

The previous prime is 133501399. The next prime is 133501441. The reversal of 133501420 is 24105331.

It is an interprime number because it is at equal distance from previous prime (133501399) and next prime (133501441).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119826 + ... + 120934.

It is an arithmetic number, because the mean of its divisors is an integer number (6309240).

Almost surely, 2133501420 is an apocalyptic number.

133501420 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 133501420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151421760).

133501420 is an abundant number, since it is smaller than the sum of its proper divisors (169342100).

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

133501420 is a wasteful number, since it uses less digits than its factorization.

133501420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 133501420 is about 11554.2814575377. The cubic root of 133501420 is about 511.0875421114.

Adding to 133501420 its reverse (24105331), we get a palindrome (157606751).

The spelling of 133501420 in words is "one hundred thirty-three million, five hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 463 926 1109 1852 2218 2315 4436 4630 5545 6019 9260 11090 12038 14417 22180 24076 28834 30095 57668 60190 72085 120380 144170 288340 513467 1026934 2053868 2567335 5134670 6675071 10269340 13350142 26700284 33375355 66750710 133501420