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137007772 = 22113538821
BaseRepresentation
bin10000010101010…
…01001010011100
3100112210201022221
420022221022130
5240033222042
621332315124
73252355366
oct1012511234
9315721287
10137007772
1170378a70
1239a72aa4
13225003b5
14142a5d36
15c064d67
hex82a929c

137007772 has 24 divisors (see below), whose sum is σ = 262330992. Its totient is φ = 62092800.

The previous prime is 137007763. The next prime is 137007779. The reversal of 137007772 is 277700731.

It is a super-2 number, since 2×1370077722 = 37542259176807968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137007779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11122 + ... + 19942.

It is an arithmetic number, because the mean of its divisors is an integer number (10930458).

Almost surely, 2137007772 is an apocalyptic number.

It is an amenable number.

137007772 is a deficient number, since it is larger than the sum of its proper divisors (125323220).

137007772 is a wasteful number, since it uses less digits than its factorization.

137007772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 14406, while the sum is 34.

The square root of 137007772 is about 11705.0319093969. The cubic root of 137007772 is about 515.5234217143.

The spelling of 137007772 in words is "one hundred thirty-seven million, seven thousand, seven hundred seventy-two".

Divisors: 1 2 4 11 22 44 353 706 1412 3883 7766 8821 15532 17642 35284 97031 194062 388124 3113813 6227626 12455252 34251943 68503886 137007772