145731649536 has 384 divisors, whose sum is σ = 463736145600. Its totient is φ = 43733483520.

The previous prime is 145731649517. The next prime is 145731649537. The reversal of 145731649536 is 635946137541.

145731649536 is a `hidden beast` number, since 1 + 4 + 57 + 3 + 16 + 49 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (145731649537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 541753210 + ... + 541753478.

Almost surely, 2^145731649536 is an apocalyptic number.

145731649536 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 145731649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231868072800).

145731649536 is an abundant number, since it is smaller than the sum of its proper divisors (318004496064).

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

145731649536 is a wasteful number, since it uses less digits than its factorization.

145731649536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 452 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

It can be divided in two parts, 14573164 and 9536, that added together give a triangular number (14582700 = T₅₄₀₀).

The spelling of 145731649536 in words is "one hundred forty-five billion, seven hundred thirty-one million, six hundred forty-nine thousand, five hundred thirty-six".