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146137348 = 2273125431
BaseRepresentation
bin10001011010111…
…10000100000100
3101011222112202101
420231132010010
5244402343343
622300121444
73423101260
oct1055360404
9334875671
10146137348
1175544175
1240b36284
1324378a06
14155a10a0
15cc69e4d
hex8b5e104

146137348 has 36 divisors (see below), whose sum is σ = 302062656. Its totient is φ = 60598800.

The previous prime is 146137337. The next prime is 146137373. The reversal of 146137348 is 843731641.

It is a super-2 number, since 2×1461373482 = 42712248960946208, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 24193 + ... + 29623.

Almost surely, 2146137348 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 146137348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151031328).

146137348 is an abundant number, since it is smaller than the sum of its proper divisors (155925308).

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

146137348 is a wasteful number, since it uses less digits than its factorization.

146137348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5471 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 146137348 is about 12088.7281382286. The cubic root of 146137348 is about 526.7288108763.

Adding to 146137348 its reverse (843731641), we get a palindrome (989868989).

It can be divided in two parts, 1461 and 37348, that added together give a square (38809 = 1972).

The spelling of 146137348 in words is "one hundred forty-six million, one hundred thirty-seven thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 961 1922 3844 5431 6727 10862 13454 21724 26908 38017 76034 152068 168361 336722 673444 1178527 2357054 4714108 5219191 10438382 20876764 36534337 73068674 146137348