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137414111148 = 22343471222241
BaseRepresentation
bin111111111111010000…
…1001110111110101100
3111010200121220010010000
41333332201032332230
54222411003024043
6143043245144300
712633151446516
oct1777641167654
9433617803100
10137414111148
1153305757616
122276b85b090
13cc5bc1cc52
146918020bb6
153893bcc2d3
hex1ffe84efac

137414111148 has 60 divisors (see below), whose sum is σ = 360263162952. Its totient is φ = 45672664320.

The previous prime is 137414111147. The next prime is 137414111251. The reversal of 137414111148 is 841111414731.

It is a happy number.

137414111148 is a `hidden beast` number, since 1 + 374 + 141 + 1 + 1 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137414111143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 498693 + ... + 723548.

Almost surely, 2137414111148 is an apocalyptic number.

137414111148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137414111148 is an abundant number, since it is smaller than the sum of its proper divisors (222849051804).

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

137414111148 is a wasteful number, since it uses less digits than its factorization.

137414111148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222604 (or 1222593 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

Adding to 137414111148 its reverse (841111414731), we get a palindrome (978525525879).

The spelling of 137414111148 in words is "one hundred thirty-seven billion, four hundred fourteen million, one hundred eleven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 694 1041 1388 2082 3123 4164 6246 9369 12492 18738 28107 37476 56214 112428 1222241 2444482 3666723 4888964 7333446 11000169 14666892 22000338 33000507 44000676 66001014 99001521 132002028 198003042 396006084 424117627 848235254 1272352881 1696470508 2544705762 3817058643 5089411524 7634117286 11451175929 15268234572 22902351858 34353527787 45804703716 68707055574 137414111148