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132150555516144 = 2431147101433712157
BaseRepresentation
bin11110000011000010110010…
…111010110001110011110000
3122022220110200102121210111110
4132003002302322301303300
5114310123314203004034
61145021043242113320
736556363650035424
oct3603026272616360
9568813612553443
10132150555516144
113911a810481710
12129a37b57ab840
1358979894bab89
14248c19a0c6b84
151042814cd7de9
hex7830b2eb1cf0

132150555516144 has 320 divisors, whose sum is σ = 384234208008192. Its totient is φ = 38793394176000.

The previous prime is 132150555516131. The next prime is 132150555516151. The reversal of 132150555516144 is 441615555051231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 132150555516093 and 132150555516102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10870320114 + ... + 10870332270.

Almost surely, 2132150555516144 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 132150555516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192117104004096).

132150555516144 is an abundant number, since it is smaller than the sum of its proper divisors (252083652492048).

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

132150555516144 is a wasteful number, since it uses less digits than its factorization.

132150555516144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16664 (or 16658 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 48.

The spelling of 132150555516144 in words is "one hundred thirty-two trillion, one hundred fifty billion, five hundred fifty-five million, five hundred sixteen thousand, one hundred forty-four".