145542953556 has 288 divisors, whose sum is σ = 495091973376. Its totient is φ = 34815744000.

The previous prime is 145542953527. The next prime is 145542953561. The reversal of 145542953556 is 655359245541.

145542953556 is a `hidden beast` number, since 1 + 4 + 5 + 54 + 2 + 9 + 535 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16608216 + ... + 16616976.

It is an arithmetic number, because the mean of its divisors is an integer number (1719069352).

Almost surely, 2^145542953556 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 145542953556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247545986688).

145542953556 is an abundant number, since it is smaller than the sum of its proper divisors (349549019820).

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

145542953556 is a wasteful number, since it uses less digits than its factorization.

145542953556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9258 counting only the distinct ones).

The product of its digits is 16200000, while the sum is 54.

The spelling of 145542953556 in words is "one hundred forty-five billion, five hundred forty-two million, nine hundred fifty-three thousand, five hundred fifty-six".