132477345 has 192 divisors, whose sum is σ = 328333824. Its totient is φ = 47554560.

The previous prime is 132477251. The next prime is 132477347. The reversal of 132477345 is 543774231.

It is not a de Polignac number, because 132477345 - 2⁸ = 132477089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132477347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 765679 + ... + 765851.

It is an arithmetic number, because the mean of its divisors is an integer number (1710072).

Almost surely, 2^132477345 is an apocalyptic number.

132477345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132477345 is an abundant number, since it is smaller than the sum of its proper divisors (195856479).

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

132477345 is a wasteful number, since it uses less digits than its factorization.

132477345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 132477345 is about 11509.8803208374. The cubic root of 132477345 is about 509.7773537958. Note that the first 3 decimals are identical.

The spelling of 132477345 in words is "one hundred thirty-two million, four hundred seventy-seven thousand, three hundred forty-five".