145773733248 has 384 divisors, whose sum is σ = 493865517600. Its totient is φ = 40689008640.

The previous prime is 145773733207. The next prime is 145773733249. The reversal of 145773733248 is 842337377541.

145773733248 is a `hidden beast` number, since 1 + 4 + 577 + 37 + 3 + 32 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145773733194 and 145773733203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145773733249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144472968 + ... + 144473976.

Almost surely, 2^145773733248 is an apocalyptic number.

145773733248 is a gapful number since it is divisible by the number (18) 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 145773733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246932758800).

145773733248 is an abundant number, since it is smaller than the sum of its proper divisors (348091784352).

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

145773733248 is a wasteful number, since it uses less digits than its factorization.

145773733248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1915 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 145773733248 in words is "one hundred forty-five billion, seven hundred seventy-three million, seven hundred thirty-three thousand, two hundred forty-eight".