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148937085 = 325112171609
BaseRepresentation
bin10001110000010…
…01100101111101
3101101020210021100
420320021211331
5301111441320
622440123313
73455641623
oct1070114575
9341223240
10148937085
1177086700
1241a66539
1324b1916b
1415acd513
15d11e790
hex8e0997d

148937085 has 72 divisors (see below), whose sum is σ = 300638520. Its totient is φ = 67921920.

The previous prime is 148937077. The next prime is 148937101. The reversal of 148937085 is 580739841.

148937085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74753316 + 74183769 = 8646^2 + 8613^2 .

It is not a de Polignac number, because 148937085 - 23 = 148937077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 148937085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91761 + ... + 93369.

It is an arithmetic number, because the mean of its divisors is an integer number (4175535).

Almost surely, 2148937085 is an apocalyptic number.

148937085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148937085 is an abundant number, since it is smaller than the sum of its proper divisors (151701435).

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

148937085 is a wasteful number, since it uses less digits than its factorization.

148937085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 148937085 is about 12203.9782448184. The cubic root of 148937085 is about 530.0712909916.

The spelling of 148937085 in words is "one hundred forty-eight million, nine hundred thirty-seven thousand, eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 121 153 165 187 255 363 495 561 605 765 935 1089 1609 1683 1815 2057 2805 4827 5445 6171 8045 8415 10285 14481 17699 18513 24135 27353 30855 53097 72405 82059 88495 92565 136765 159291 194689 246177 265485 300883 410295 584067 796455 902649 973445 1230885 1504415 1752201 2707947 2920335 3309713 4513245 8761005 9929139 13539735 16548565 29787417 49645695 148937085