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137485194 = 23711523569
BaseRepresentation
bin10000011000111…
…01101110001010
3100120200222020020
420030131232022
5240144011234
621350441310
73256414320
oct1014355612
9316628206
10137485194
1170674730
123a063236
13226397b2
141438bd10
15c10b549
hex831db8a

137485194 has 64 divisors (see below), whose sum is σ = 344079360. Its totient is φ = 35579520.

The previous prime is 137485169. The next prime is 137485211. The reversal of 137485194 is 491584731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241342 + ... + 241910.

It is an arithmetic number, because the mean of its divisors is an integer number (5376240).

Almost surely, 2137485194 is an apocalyptic number.

137485194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137485194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172039680).

137485194 is an abundant number, since it is smaller than the sum of its proper divisors (206594166).

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

137485194 is a wasteful number, since it uses less digits than its factorization.

137485194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115.

The product of its digits is 120960, while the sum is 42.

The square root of 137485194 is about 11725.4080526010. The cubic root of 137485194 is about 516.1215310760.

It can be divided in two parts, 1374 and 85194, that added together give a palindrome (86568).

The spelling of 137485194 in words is "one hundred thirty-seven million, four hundred eighty-five thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 523 569 1046 1138 1569 1707 3138 3414 3661 3983 5753 6259 7322 7966 10983 11506 11949 12518 17259 18777 21966 23898 34518 37554 40271 43813 80542 87626 120813 131439 241626 262878 297587 595174 892761 1785522 2083109 3273457 4166218 6249327 6546914 9820371 12498654 19640742 22914199 45828398 68742597 137485194