145952246790 has 192 divisors, whose sum is σ = 450133931520. Its totient is φ = 33331979520.

The previous prime is 145952246761. The next prime is 145952246807. The reversal of 145952246790 is 97642259541.

It is a happy number.

145952246790 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 522 + 46 + 79 + 0 = 666.

145952246790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 24814650 + ... + 24820530.

It is an arithmetic number, because the mean of its divisors is an integer number (2344447560).

Almost surely, 2^145952246790 is an apocalyptic number.

145952246790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145952246790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225066965760).

145952246790 is an abundant number, since it is smaller than the sum of its proper divisors (304181684730).

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

145952246790 is a wasteful number, since it uses less digits than its factorization.

145952246790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7369 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 145952246790 in words is "one hundred forty-five billion, nine hundred fifty-two million, two hundred forty-six thousand, seven hundred ninety".