145321650936 has 1280 divisors, whose sum is σ = 578086502400. Its totient is φ = 32920473600.

The previous prime is 145321650923. The next prime is 145321650989. The reversal of 145321650936 is 639056123541.

145321650936 is a `hidden beast` number, since 1 + 453 + 2 + 165 + 0 + 9 + 36 = 666.

It is a super-2 number, since 2×145321650936² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145321650891 and 145321650900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1144264905 + ... + 1144265031.

It is an arithmetic number, because the mean of its divisors is an integer number (451630080).

Almost surely, 2^145321650936 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 145321650936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289043251200).

145321650936 is an abundant number, since it is smaller than the sum of its proper divisors (432764851464).

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

145321650936 is a wasteful number, since it uses less digits than its factorization.

145321650936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 145321650936 in words is "one hundred forty-five billion, three hundred twenty-one million, six hundred fifty thousand, nine hundred thirty-six".