145517299200 has 1440 divisors, whose sum is σ = 670128671520. Its totient is φ = 30656102400.

The previous prime is 145517299189. The next prime is 145517299211. The reversal of 145517299200 is 2992715541.

145517299200 is a `hidden beast` number, since 1 + 4 + 551 + 7 + 2 + 9 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145517299189) and next prime (145517299211).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220146870 + ... + 220147530.

It is an arithmetic number, because the mean of its divisors is an integer number (465367133).

Almost surely, 2^145517299200 is an apocalyptic number.

145517299200 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 145517299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335064335760).

145517299200 is an abundant number, since it is smaller than the sum of its proper divisors (524611372320).

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

145517299200 is a wasteful number, since it uses less digits than its factorization.

145517299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 145517299200 in words is "one hundred forty-five billion, five hundred seventeen million, two hundred ninety-nine thousand, two hundred".