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151020144 = 243211671423
BaseRepresentation
bin10010000000001…
…10001001110000
3101112011121200200
421000012021300
5302130121034
622552515200
73512435652
oct1100061160
9345147620
10151020144
1178279740
12426abb00
1325398342
14160b26d2
15d3d1a99
hex9006270

151020144 has 120 divisors (see below), whose sum is σ = 468279552. Its totient is φ = 45048960.

The previous prime is 151020143. The next prime is 151020157. The reversal of 151020144 is 441020151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151020143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105417 + ... + 106839.

Almost surely, 2151020144 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 151020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234139776).

151020144 is an abundant number, since it is smaller than the sum of its proper divisors (317259408).

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

151020144 is a wasteful number, since it uses less digits than its factorization.

151020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 151020144 is about 12289.0253478459. The cubic root of 151020144 is about 532.5310806431.

Adding to 151020144 its reverse (441020151), we get a palindrome (592040295).

The spelling of 151020144 in words is "one hundred fifty-one million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 67 72 88 99 132 134 144 176 198 201 264 268 396 402 528 536 603 737 792 804 1072 1206 1423 1474 1584 1608 2211 2412 2846 2948 3216 4269 4422 4824 5692 5896 6633 8538 8844 9648 11384 11792 12807 13266 15653 17076 17688 22768 25614 26532 31306 34152 35376 46959 51228 53064 62612 68304 93918 95341 102456 106128 125224 140877 187836 190682 204912 250448 281754 286023 375672 381364 563508 572046 751344 762728 858069 1048751 1127016 1144092 1525456 1716138 2097502 2254032 2288184 3146253 3432276 4195004 4576368 6292506 6864552 8390008 9438759 12585012 13729104 16780016 18877518 25170024 37755036 50340048 75510072 151020144