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132364540 = 2257112337101
BaseRepresentation
bin1111110001110…
…11100011111100
3100020001211000101
413320323203330
5232341131130
621045010444
73165036310
oct770734374
9306054011
10132364540
1168797490
12383b3a24
1321565b19
1413817b40
15b9491ca
hex7e3b8fc

132364540 has 192 divisors, whose sum is σ = 375072768. Its totient is φ = 38016000.

The previous prime is 132364537. The next prime is 132364559. The reversal of 132364540 is 45463231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 132364499 and 132364508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1310490 + ... + 1310590.

It is an arithmetic number, because the mean of its divisors is an integer number (1953504).

Almost surely, 2132364540 is an apocalyptic number.

132364540 is a gapful number since it is divisible by the number (10) 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 132364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536384).

132364540 is an abundant number, since it is smaller than the sum of its proper divisors (242708228).

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

132364540 is a wasteful number, since it uses less digits than its factorization.

132364540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 132364540 is about 11504.9789221884. The cubic root of 132364540 is about 509.6326202085.

The spelling of 132364540 in words is "one hundred thirty-two million, three hundred sixty-four thousand, five hundred forty".