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135450816 = 2634391607
BaseRepresentation
bin10000001001011…
…01000011000000
3100102212121120220
420010231003000
5234133411231
621235103040
73233212224
oct1004550300
9312777526
10135450816
116a505226
1239441a80
13220a6817
1413dbc784
15bd58896
hex812d0c0

135450816 has 56 divisors (see below), whose sum is σ = 359420160. Its totient is φ = 45019392.

The previous prime is 135450769. The next prime is 135450823. The reversal of 135450816 is 618054531.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83485 + ... + 85091.

Almost surely, 2135450816 is an apocalyptic number.

135450816 is a gapful number since it is divisible by the number (16) 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 135450816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179710080).

135450816 is an abundant number, since it is smaller than the sum of its proper divisors (223969344).

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

135450816 is a wasteful number, since it uses less digits than its factorization.

135450816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135450816 is about 11638.3339013795. Note that the first 3 decimals coincide. The cubic root of 135450816 is about 513.5631751239.

The spelling of 135450816 in words is "one hundred thirty-five million, four hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 439 878 1317 1607 1756 2634 3214 3512 4821 5268 6428 7024 9642 10536 12856 14048 19284 21072 25712 28096 38568 42144 51424 77136 84288 102848 154272 308544 705473 1410946 2116419 2821892 4232838 5643784 8465676 11287568 16931352 22575136 33862704 45150272 67725408 135450816