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151146540 = 223351132477
BaseRepresentation
bin10010000001001…
…01000000101100
3101112102001002000
421000211000230
5302143142130
622555332300
73513503316
oct1100450054
9345361060
10151146540
11783556a6
1242751090
1325410a2c
14161067b6
15d409260
hex902502c

151146540 has 96 divisors (see below), whose sum is σ = 474586560. Its totient is φ = 39932928.

The previous prime is 151146529. The next prime is 151146557. The reversal of 151146540 is 45641151.

151146540 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 4 + 654 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59782 + ... + 62258.

It is an arithmetic number, because the mean of its divisors is an integer number (4943610).

Almost surely, 2151146540 is an apocalyptic number.

151146540 is a gapful number since it is divisible by the number (10) 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 151146540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237293280).

151146540 is an abundant number, since it is smaller than the sum of its proper divisors (323440020).

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

151146540 is a wasteful number, since it uses less digits than its factorization.

151146540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 151146540 is about 12294.1669095551. The cubic root of 151146540 is about 532.6796061469.

Adding to 151146540 its reverse (45641151), we get a palindrome (196787691).

The spelling of 151146540 in words is "one hundred fifty-one million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 113 135 180 226 270 339 452 540 565 678 1017 1130 1356 1695 2034 2260 2477 3051 3390 4068 4954 5085 6102 6780 7431 9908 10170 12204 12385 14862 15255 20340 22293 24770 29724 30510 37155 44586 49540 61020 66879 74310 89172 111465 133758 148620 222930 267516 279901 334395 445860 559802 668790 839703 1119604 1337580 1399505 1679406 2519109 2799010 3358812 4198515 5038218 5598020 7557327 8397030 10076436 12595545 15114654 16794060 25191090 30229308 37786635 50382180 75573270 151146540