1527132276540 has 432 divisors, whose sum is σ = 5058025015680. Its totient is φ = 372780195840.

The previous prime is 1527132276539. The next prime is 1527132276541. The reversal of 1527132276540 is 456722317251.

1527132276540 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 1 + 32 + 2 + 76 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (1527132276539) and next prime (1527132276541).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1527132276541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3526864164 + ... + 3526864596.

It is an arithmetic number, because the mean of its divisors is an integer number (11708391240).

Almost surely, 2^{1527132276540} is an apocalyptic number.

1527132276540 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 1527132276540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529012507840).

1527132276540 is an abundant number, since it is smaller than the sum of its proper divisors (3530892739140).

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

1527132276540 is a wasteful number, since it uses less digits than its factorization.

1527132276540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1527132276540 in words is "one trillion, five hundred twenty-seven billion, one hundred thirty-two million, two hundred seventy-six thousand, five hundred forty".