145907918208 has 192 divisors, whose sum is σ = 453173229600. Its totient is φ = 44794404864.

The previous prime is 145907918089. The next prime is 145907918249. The reversal of 145907918208 is 802819709541.

It is a happy number.

145907918208 is a `hidden beast` number, since 1 + 459 + 0 + 7 + 9 + 182 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×145907918208³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6833373 + ... + 6854691.

Almost surely, 2^145907918208 is an apocalyptic number.

145907918208 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 145907918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226586614800).

145907918208 is an abundant number, since it is smaller than the sum of its proper divisors (307265311392).

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

145907918208 is a wasteful number, since it uses less digits than its factorization.

145907918208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21809 (or 21794 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 145907918208 in words is "one hundred forty-five billion, nine hundred seven million, nine hundred eighteen thousand, two hundred eight".