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135452415 = 35743761
BaseRepresentation
bin10000001001011…
…01011011111111
3100102212200210010
420010231123333
5234133434130
621235114303
73233220000
oct1004553377
9312780703
10135452415
116a50644a
1239442993
13220a7477
1413dbd1a7
15bd590b0
hex812d6ff

135452415 has 40 divisors (see below), whose sum is σ = 252896688. Its totient is φ = 61904640.

The previous prime is 135452407. The next prime is 135452437. The reversal of 135452415 is 514254531.

It is not a de Polignac number, because 135452415 - 23 = 135452407 is a prime.

It is a super-3 number, since 3×1354524153 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34135 + ... + 37895.

Almost surely, 2135452415 is an apocalyptic number.

135452415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135452415 is a deficient number, since it is larger than the sum of its proper divisors (117444273).

135452415 is an frugal number, since it uses more digits than its factorization.

135452415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3776 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 135452415 is about 11638.4025965766. The cubic root of 135452415 is about 513.5651959910.

The spelling of 135452415 in words is "one hundred thirty-five million, four hundred fifty-two thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 735 1029 1715 2401 3761 5145 7203 11283 12005 18805 26327 36015 56415 78981 131635 184289 394905 552867 921445 1290023 2764335 3870069 6450115 9030161 19350345 27090483 45150805 135452415