145575042653040 has 5120 divisors, whose sum is σ = 707513116262400. Its totient is φ = 23734989619200.

The previous prime is 145575042652999. The next prime is 145575042653063. The reversal of 145575042653040 is 40356240575541.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 175603187346 + ... + 175603188174.

It is an arithmetic number, because the mean of its divisors is an integer number (138186155520).

Almost surely, 2^{145575042653040} is an apocalyptic number.

145575042653040 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 145575042653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353756558131200).

145575042653040 is an abundant number, since it is smaller than the sum of its proper divisors (561938073609360).

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

145575042653040 is a wasteful number, since it uses less digits than its factorization.

145575042653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 51.

The spelling of 145575042653040 in words is "one hundred forty-five trillion, five hundred seventy-five billion, forty-two million, six hundred fifty-three thousand, forty".