Search a number
-
+
137785212 = 22341992137
BaseRepresentation
bin10000011011001…
…10111101111100
3100121021012210000
420031212331330
5240233111322
621401114300
73262104105
oct1015467574
9317235700
10137785212
117085a084
123a188990
1322713216
14144293ac
15c16a3ac
hex8366f7c

137785212 has 60 divisors (see below), whose sum is σ = 362177200. Its totient is φ = 45676224.

The previous prime is 137785183. The next prime is 137785253. The reversal of 137785212 is 212587731.

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

137785212 is a Rhonda number in base 10.

Its product of digits (23520) is a multiple of the sum of its prime factors (2352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63408 + ... + 65544.

Almost surely, 2137785212 is an apocalyptic number.

137785212 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 137785212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181088600).

137785212 is an abundant number, since it is smaller than the sum of its proper divisors (224391988).

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

137785212 is a wasteful number, since it uses less digits than its factorization.

137785212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 137785212 is about 11738.1945800877. The cubic root of 137785212 is about 516.4966823860.

The spelling of 137785212 in words is "one hundred thirty-seven million, seven hundred eighty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 324 398 597 796 1194 1791 2137 2388 3582 4274 5373 6411 7164 8548 10746 12822 16119 19233 21492 25644 32238 38466 57699 64476 76932 115398 173097 230796 346194 425263 692388 850526 1275789 1701052 2551578 3827367 5103156 7654734 11482101 15309468 22964202 34446303 45928404 68892606 137785212