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151644132 = 223229145253
BaseRepresentation
bin10010000100111…
…10011111100100
3101120100022122100
421002132133210
5302310103012
623014132100
73520645113
oct1102363744
9346308570
10151644132
1178665532
1242951030
1325556373
14161d5c7a
15d4a68dc
hex909e7e4

151644132 has 36 divisors (see below), whose sum is σ = 396543420. Its totient is φ = 48804672.

The previous prime is 151644121. The next prime is 151644133. The reversal of 151644132 is 231446151.

It is a happy number.

151644132 is a `hidden beast` number, since 1 + 5 + 1 + 644 + 13 + 2 = 666.

151644132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 63584676 + 88059456 = 7974^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 151644096 and 151644105.

It is not an unprimeable number, because it can be changed into a prime (151644133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71583 + ... + 73670.

It is an arithmetic number, because the mean of its divisors is an integer number (11015095).

Almost surely, 2151644132 is an apocalyptic number.

151644132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151644132 is an abundant number, since it is smaller than the sum of its proper divisors (244899288).

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

151644132 is a wasteful number, since it uses less digits than its factorization.

151644132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145292 (or 145287 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 151644132 is about 12314.3871954718. The cubic root of 151644132 is about 533.2635136032.

The spelling of 151644132 in words is "one hundred fifty-one million, six hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 145253 290506 435759 581012 871518 1307277 1743036 2614554 4212337 5229108 8424674 12637011 16849348 25274022 37911033 50548044 75822066 151644132