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148920192 = 2732257503
BaseRepresentation
bin10001110000001…
…01011110000000
3101101012221002200
420320011132000
5301110421232
622435513200
73455541441
oct1070053600
9341187080
10148920192
1177074a43
1241a58800
1324b11575
1415ac72c8
15d11977c
hex8e05780

148920192 has 96 divisors (see below), whose sum is σ = 431056080. Its totient is φ = 49348608.

The previous prime is 148920179. The next prime is 148920197. The reversal of 148920192 is 291029841.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148920197) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295813 + ... + 296315.

Almost surely, 2148920192 is an apocalyptic number.

148920192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215528040).

148920192 is an abundant number, since it is smaller than the sum of its proper divisors (282135888).

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

148920192 is a wasteful number, since it uses less digits than its factorization.

148920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 148920192 is about 12203.2861148135. The cubic root of 148920192 is about 530.0512493458.

The spelling of 148920192 in words is "one hundred forty-eight million, nine hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 257 288 384 503 514 576 771 1006 1028 1152 1509 1542 2012 2056 2313 3018 3084 4024 4112 4527 4626 6036 6168 8048 8224 9054 9252 12072 12336 16096 16448 18108 18504 24144 24672 32192 32896 36216 37008 48288 49344 64384 72432 74016 96576 98688 129271 144864 148032 193152 258542 289728 296064 387813 517084 579456 775626 1034168 1163439 1551252 2068336 2326878 3102504 4136672 4653756 6205008 8273344 9307512 12410016 16546688 18615024 24820032 37230048 49640064 74460096 148920192