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137149332 = 223311272903
BaseRepresentation
bin10000010110010…
…11101110010100
3100120001220111220
420023023232110
5240102234312
621335330340
73253515165
oct1013135624
9316056456
10137149332
1170465361
1239b209b0
132254c968
141430176c
15c091c8c
hex82cbb94

137149332 has 48 divisors (see below), whose sum is σ = 333053952. Its totient is φ = 43878240.

The previous prime is 137149297. The next prime is 137149333. The reversal of 137149332 is 233941731.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137149293 and 137149302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137149333) 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 15 ways as a sum of consecutive naturals, for example, 45793 + ... + 48695.

It is an arithmetic number, because the mean of its divisors is an integer number (6938624).

Almost surely, 2137149332 is an apocalyptic number.

137149332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137149332 is an abundant number, since it is smaller than the sum of its proper divisors (195904620).

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

137149332 is a wasteful number, since it uses less digits than its factorization.

137149332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3066 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 137149332 is about 11711.0773202127. The cubic root of 137149332 is about 515.7009113434.

The spelling of 137149332 in words is "one hundred thirty-seven million, one hundred forty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 127 186 254 372 381 508 762 1524 2903 3937 5806 7874 8709 11612 11811 15748 17418 23622 34836 47244 89993 179986 269979 359972 368681 539958 737362 1079916 1106043 1474724 2212086 4424172 11429111 22858222 34287333 45716444 68574666 137149332