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137001204 = 223223316333
BaseRepresentation
bin10000010101001…
…11100011110100
3100112210101022200
420022213203310
5240033014304
621332224500
73252330264
oct1012474364
9315711280
10137001204
117037403a
1239a6b130
13224ca402
14142a37a4
15c062e39
hex82a78f4

137001204 has 36 divisors (see below), whose sum is σ = 347816196. Its totient is φ = 45468288.

The previous prime is 137001203. The next prime is 137001257. The reversal of 137001204 is 402100731.

It can be written as a sum of positive squares in 2 ways, for example, as 18147600 + 118853604 = 4260^2 + 10902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137001203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 222 + ... + 16554.

It is an arithmetic number, because the mean of its divisors is an integer number (9661561).

Almost surely, 2137001204 is an apocalyptic number.

It is an amenable number.

137001204 is an abundant number, since it is smaller than the sum of its proper divisors (210814992).

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

137001204 is a wasteful number, since it uses less digits than its factorization.

137001204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16576 (or 16571 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 137001204 is about 11704.7513429376. The cubic root of 137001204 is about 515.5151837097.

Adding to 137001204 its reverse (402100731), we get a palindrome (539101935).

The spelling of 137001204 in words is "one hundred thirty-seven million, one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 4194 8388 16333 32666 48999 65332 97998 146997 195996 293994 587988 3805589 7611178 11416767 15222356 22833534 34250301 45667068 68500602 137001204