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135769088 = 2107133147
BaseRepresentation
bin10000001011110…
…10110000000000
3100110110210011202
420011322300000
5234224102323
621250000332
73236006150
oct1005726000
9313423152
10135769088
116a702364
12395760a8
1322188650
1414062760
15bdbcd28
hex817ac00

135769088 has 176 divisors, whose sum is σ = 352149504. Its totient is φ = 50872320.

The previous prime is 135769087. The next prime is 135769099. The reversal of 135769088 is 880967531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (135769087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2888681 + ... + 2888727.

Almost surely, 2135769088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176074752).

135769088 is an abundant number, since it is smaller than the sum of its proper divisors (216380416).

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

135769088 is a wasteful number, since it uses less digits than its factorization.

135769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 135769088 is about 11651.9993134226. Note that the first 3 decimals coincide. The cubic root of 135769088 is about 513.9651043447.

The spelling of 135769088 in words is "one hundred thirty-five million, seven hundred sixty-nine thousand, eighty-eight".