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146742148 = 22737197719
BaseRepresentation
bin10001011111100…
…01101110000100
3101020010021101101
420233301232010
5300031222043
622321105444
73431200450
oct1057615604
9336107341
10146742148
1175917603
1241188284
132452b097
14156bb660
15cd3924d
hex8bf1b84

146742148 has 48 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 60794496.

The previous prime is 146742137. The next prime is 146742151. The reversal of 146742148 is 841247641.

It is a happy number.

146742148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203733 + ... + 204451.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2146742148 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 146742148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

146742148 is an abundant number, since it is smaller than the sum of its proper divisors (156625532).

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

146742148 is a wasteful number, since it uses less digits than its factorization.

146742148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 146742148 is about 12113.7173485268. The cubic root of 146742148 is about 527.4544458763.

Adding to 146742148 its reverse (841247641), we get a palindrome (987989789).

The spelling of 146742148 in words is "one hundred forty-six million, seven hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 74 148 197 259 394 518 719 788 1036 1379 1438 2758 2876 5033 5516 7289 10066 14578 20132 26603 29156 51023 53206 102046 106412 141643 186221 204092 283286 372442 566572 744884 991501 1983002 3966004 5240791 10481582 20963164 36685537 73371074 146742148