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137437398 = 235771569
BaseRepresentation
bin10000011000100…
…10000011010110
3100120121112200000
420030102003112
5240140444043
621345432130
73256125060
oct1014220326
9316545600
10137437398
117064182a
123a03b646
1322620b07
1414378730
15c0ec2d3
hex83120d6

137437398 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 38646720.

The previous prime is 137437387. The next prime is 137437403. The reversal of 137437398 is 893734731.

137437398 = T1932 + T1933 + ... + T2002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241258 + ... + 241826.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2137437398 is an apocalyptic number.

137437398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137437398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

137437398 is an abundant number, since it is smaller than the sum of its proper divisors (221088042).

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

137437398 is an equidigital number, since it uses as much as digits as its factorization.

137437398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 137437398 is about 11723.3697374091. The cubic root of 137437398 is about 516.0617151711.

The spelling of 137437398 in words is "one hundred thirty-seven million, four hundred thirty-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 126 142 162 189 213 243 378 426 486 497 567 569 639 994 1134 1138 1278 1491 1701 1707 1917 2982 3402 3414 3834 3983 4473 5121 5751 7966 8946 10242 11502 11949 13419 15363 17253 23898 26838 30726 34506 35847 40257 40399 46089 71694 80514 80798 92178 107541 120771 121197 138267 215082 241542 242394 276534 282793 322623 363591 565586 645246 727182 848379 967869 1090773 1696758 1935738 2181546 2545137 3272319 5090274 6544638 7635411 9816957 15270822 19633914 22906233 45812466 68718699 137437398