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148151872 = 26111712379
BaseRepresentation
bin10001101010010…
…01111001000000
3101022202220011101
420311021321000
5300411324442
622411224144
73446161441
oct1065117100
9338686141
10148151872
117669a770
1241748054
132490293b
14159672c8
15d016cb7
hex8d49e40

148151872 has 56 divisors (see below), whose sum is σ = 339608160. Its totient is φ = 63375360.

The previous prime is 148151869. The next prime is 148151897. The reversal of 148151872 is 278151841.

148151872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5779 + ... + 18157.

Almost surely, 2148151872 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 148151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169804080).

148151872 is an abundant number, since it is smaller than the sum of its proper divisors (191456288).

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

148151872 is a wasteful number, since it uses less digits than its factorization.

148151872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12419 (or 12409 counting only the distinct ones).

The product of its digits is 17920, while the sum is 37.

The square root of 148151872 is about 12171.7653608669. The cubic root of 148151872 is about 529.1381173870.

The spelling of 148151872 in words is "one hundred forty-eight million, one hundred fifty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 12379 24758 49516 99032 136169 198064 210443 272338 396128 420886 544676 792256 841772 1089352 1683544 2178704 2314873 3367088 4357408 4629746 6734176 8714816 9259492 13468352 18518984 37037968 74075936 148151872