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156240144 = 2433397911
BaseRepresentation
bin10010101000000…
…00100100010000
3101212222211012000
421110000210100
5304444141034
623300434000
73605006424
oct1124004420
9355884160
10156240144
1180214595
12443a8900
13264a52b8
1416a70b84
15dab3599
hex9500910

156240144 has 80 divisors (see below), whose sum is σ = 450090240. Its totient is φ = 51891840.

The previous prime is 156240121. The next prime is 156240169. The reversal of 156240144 is 441042651.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171049 + ... + 171959.

It is an arithmetic number, because the mean of its divisors is an integer number (5626128).

Almost surely, 2156240144 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 156240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225045120).

156240144 is an abundant number, since it is smaller than the sum of its proper divisors (293850096).

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

156240144 is a wasteful number, since it uses less digits than its factorization.

156240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 156240144 is about 12499.6057537828. The cubic root of 156240144 is about 538.5973474121.

Adding to 156240144 its reverse (441042651), we get a palindrome (597282795).

The spelling of 156240144 in words is "one hundred fifty-six million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 397 432 794 911 1191 1588 1822 2382 2733 3176 3573 3644 4764 5466 6352 7146 7288 8199 9528 10719 10932 14292 14576 16398 19056 21438 21864 24597 28584 32796 42876 43728 49194 57168 65592 85752 98388 131184 171504 196776 361667 393552 723334 1085001 1446668 2170002 2893336 3255003 4340004 5786672 6510006 8680008 9765009 13020012 17360016 19530018 26040024 39060036 52080048 78120072 156240144