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135652561425 = 32524217142969
BaseRepresentation
bin111111001010110000…
…1011101001000010001
3110222010212020010011200
41332111201131020101
54210304023431200
6142152401101413
712541411514163
oct1762541351021
9428125203150
10135652561425
11525913751a7
1222359927869
13ca3aca3234
1467cc0b6933
1537de21b800
hex1f9585d211

135652561425 has 36 divisors (see below), whose sum is σ = 243028126380. Its totient is φ = 72330370560.

The previous prime is 135652561411. The next prime is 135652561439. The reversal of 135652561425 is 524165256531.

135652561425 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 2 + 5 + 614 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (135652561411) and next prime (135652561439).

It can be written as a sum of positive squares in 6 ways, for example, as 7147518849 + 128505042576 = 84543^2 + 358476^2 .

It is not a de Polignac number, because 135652561425 - 24 = 135652561409 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 877341 + ... + 1020309.

Almost surely, 2135652561425 is an apocalyptic number.

135652561425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135652561425 is a deficient number, since it is larger than the sum of its proper divisors (107375564955).

135652561425 is a wasteful number, since it uses less digits than its factorization.

135652561425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147202 (or 147194 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 135652561425 in words is "one hundred thirty-five billion, six hundred fifty-two million, five hundred sixty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 4217 12651 21085 37953 63255 105425 142969 189765 316275 428907 714845 948825 1286721 2144535 3574225 6433605 10722675 32168025 602900273 1808700819 3014501365 5426102457 9043504095 15072506825 27130512285 45217520475 135652561425