145921038929208 has 320 divisors, whose sum is σ = 419711022339840. Its totient is φ = 47350098326016.

The previous prime is 145921038929123. The next prime is 145921038929213. The reversal of 145921038929208 is 802929830129541.

145921038929208 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 21 + 0 + 389 + 29 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4173567135 + ... + 4173602097.

It is an arithmetic number, because the mean of its divisors is an integer number (1311596944812).

Almost surely, 2^{145921038929208} is an apocalyptic number.

145921038929208 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 145921038929208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209855511169920).

145921038929208 is an abundant number, since it is smaller than the sum of its proper divisors (273789983410632).

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

145921038929208 is a wasteful number, since it uses less digits than its factorization.

145921038929208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36200 (or 36187 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 145921038929208 in words is "one hundred forty-five trillion, nine hundred twenty-one billion, thirty-eight million, nine hundred twenty-nine thousand, two hundred eight".