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148151016 = 233213831907
BaseRepresentation
bin10001101010010…
…01101011101000
3101022202211222200
420311021223220
5300411313031
622411220200
73446156106
oct1065115350
9338684880
10148151016
117669a062
1241747660
1324902430
1415966c76
15d0168e6
hex8d49ae8

148151016 has 96 divisors (see below), whose sum is σ = 437542560. Its totient is φ = 45012096.

The previous prime is 148150979. The next prime is 148151021. The reversal of 148151016 is 610151841.

148151016 is a `hidden beast` number, since 148 + 1 + 510 + 1 + 6 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76735 + ... + 78641.

It is an arithmetic number, because the mean of its divisors is an integer number (4557735).

Almost surely, 2148151016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148151016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218771280).

148151016 is an abundant number, since it is smaller than the sum of its proper divisors (289391544).

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

148151016 is a wasteful number, since it uses less digits than its factorization.

148151016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 148151016 is about 12171.7301974699. The cubic root of 148151016 is about 529.1370982907.

The spelling of 148151016 in words is "one hundred forty-eight million, one hundred fifty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 83 104 117 156 166 234 249 312 332 468 498 664 747 936 996 1079 1494 1907 1992 2158 2988 3237 3814 4316 5721 5976 6474 7628 8632 9711 11442 12948 15256 17163 19422 22884 24791 25896 34326 38844 45768 49582 68652 74373 77688 99164 137304 148746 158281 198328 223119 297492 316562 446238 474843 594984 633124 892476 949686 1266248 1424529 1784952 1899372 2057653 2849058 3798744 4115306 5698116 6172959 8230612 11396232 12345918 16461224 18518877 24691836 37037754 49383672 74075508 148151016