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132157616 = 24191512879
BaseRepresentation
bin1111110000010…
…01000010110000
3100012200022011112
413320021002300
5232313020431
621040332452
73163215113
oct770110260
9305608145
10132157616
1168665a78
1238314128
13214c2896
14137a257a
15b907c2b
hex7e090b0

132157616 has 40 divisors (see below), whose sum is σ = 271411200. Its totient is φ = 62164800.

The previous prime is 132157607. The next prime is 132157633. The reversal of 132157616 is 616751231.

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 7 ways as a sum of consecutive naturals, for example, 44465 + ... + 47343.

It is an arithmetic number, because the mean of its divisors is an integer number (6785280).

Almost surely, 2132157616 is an apocalyptic number.

132157616 is a gapful number since it is divisible by the number (16) 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 132157616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135705600).

132157616 is an abundant number, since it is smaller than the sum of its proper divisors (139253584).

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

132157616 is a wasteful number, since it uses less digits than its factorization.

132157616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3051 counting only the distinct ones).

The product of its digits is 7560, while the sum is 32.

The square root of 132157616 is about 11495.9826026312. The cubic root of 132157616 is about 509.3669140498.

The spelling of 132157616 in words is "one hundred thirty-two million, one hundred fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 151 152 302 304 604 1208 2416 2869 2879 5738 5758 11476 11516 22952 23032 45904 46064 54701 109402 218804 434729 437608 869458 875216 1738916 3477832 6955664 8259851 16519702 33039404 66078808 132157616