145018381777920 has 1760 divisors, whose sum is σ = 637467014752128. Its totient is φ = 30769107959808.

The previous prime is 145018381777891. The next prime is 145018381777949. The reversal of 145018381777920 is 29777183810541.

145018381777920 is a `hidden beast` number, since 1 + 4 + 501 + 8 + 38 + 1 + 7 + 7 + 7 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145018381777891) and next prime (145018381777949).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 3602652514 + ... + 3602692766.

Almost surely, 2^{145018381777920} is an apocalyptic number.

145018381777920 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 145018381777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318733507376064).

145018381777920 is an abundant number, since it is smaller than the sum of its proper divisors (492448632974208).

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

145018381777920 is a wasteful number, since it uses less digits than its factorization.

145018381777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40387 (or 40360 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 145018381777920 in words is "one hundred forty-five trillion, eighteen billion, three hundred eighty-one million, seven hundred seventy-seven thousand, nine hundred twenty".