145514659500 has 288 divisors, whose sum is σ = 531823953024. Its totient is φ = 32804352000.

The previous prime is 145514659469. The next prime is 145514659519. The reversal of 145514659500 is 5956415541.

145514659500 is a `hidden beast` number, since 1 + 4 + 5 + 51 + 4 + 6 + 595 + 0 + 0 = 666.

It is a super-2 number, since 2×145514659500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2267860 + ... + 2331140.

It is an arithmetic number, because the mean of its divisors is an integer number (1846610948).

Almost surely, 2^145514659500 is an apocalyptic number.

145514659500 is a gapful number since it is divisible by the number (10) 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 145514659500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265911976512).

145514659500 is an abundant number, since it is smaller than the sum of its proper divisors (386309293524).

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

145514659500 is a wasteful number, since it uses less digits than its factorization.

145514659500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63386 (or 63371 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 145514659500 in words is "one hundred forty-five billion, five hundred fourteen million, six hundred fifty-nine thousand, five hundred".