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135438372 = 22331254059
BaseRepresentation
bin10000001001010…
…10000000100100
3100102211222112000
420010222000210
5234133011442
621234525300
73233131026
oct1004520044
9312758460
10135438372
116a4a6943
1239436830
13220a0c64
1413db8016
15bd54d4c
hex812a024

135438372 has 24 divisors (see below), whose sum is σ = 351136800. Its totient is φ = 45146088.

The previous prime is 135438367. The next prime is 135438377. The reversal of 135438372 is 273834531.

135438372 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135438367) and next prime (135438377).

It is a super-2 number, since 2×1354383722 = 36687105220020768, which contains 22 as substring.

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

135438372 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (135438377) 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 7 ways as a sum of consecutive naturals, for example, 626922 + ... + 627137.

It is an arithmetic number, because the mean of its divisors is an integer number (14630700).

Almost surely, 2135438372 is an apocalyptic number.

135438372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135438372 is an abundant number, since it is smaller than the sum of its proper divisors (215698428).

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

135438372 is a wasteful number, since it uses less digits than its factorization.

135438372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254072 (or 1254064 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 135438372 is about 11637.7992764955. The cubic root of 135438372 is about 513.5474474572.

The spelling of 135438372 in words is "one hundred thirty-five million, four hundred thirty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1254059 2508118 3762177 5016236 7524354 11286531 15048708 22573062 33859593 45146124 67719186 135438372