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135470772 = 22337317183
BaseRepresentation
bin10000001001100…
…01111010110100
3100102220121222000
420010301322310
5234140031042
621235335300
73233324343
oct1004617264
9312817860
10135470772
116a519218
1239451530
13220b2928
1413dc5b5a
15bd5e74c
hex8131eb4

135470772 has 48 divisors (see below), whose sum is σ = 356052480. Its totient is φ = 44535744.

The previous prime is 135470737. The next prime is 135470789. The reversal of 135470772 is 277074531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708 + ... + 16475.

It is an arithmetic number, because the mean of its divisors is an integer number (7417760).

Almost surely, 2135470772 is an apocalyptic number.

135470772 is a gapful number since it is divisible by the number (12) 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 135470772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178026240).

135470772 is an abundant number, since it is smaller than the sum of its proper divisors (220581708).

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

135470772 is a wasteful number, since it uses less digits than its factorization.

135470772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17269 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 135470772 is about 11639.1912090145. The cubic root of 135470772 is about 513.5883950125.

The spelling of 135470772 in words is "one hundred thirty-five million, four hundred seventy thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 17183 34366 51549 68732 103098 154647 206196 309294 463941 618588 927882 1254359 1855764 2508718 3763077 5017436 7526154 11289231 15052308 22578462 33867693 45156924 67735386 135470772