145391475600 has 360 divisors, whose sum is σ = 595231283712. Its totient is φ = 32160153600.

The previous prime is 145391475589. The next prime is 145391475623. The reversal of 145391475600 is 6574193541.

145391475600 is a `hidden beast` number, since 1 + 4 + 5 + 39 + 1 + 4 + 7 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×145391475600² (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 71 ways as a sum of consecutive naturals, for example, 688144 + ... + 874256.

Almost surely, 2^145391475600 is an apocalyptic number.

145391475600 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 145391475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297615641856).

145391475600 is an abundant number, since it is smaller than the sum of its proper divisors (449839808112).

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

145391475600 is a wasteful number, since it uses less digits than its factorization.

145391475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186175 (or 186161 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 145391475600 in words is "one hundred forty-five billion, three hundred ninety-one million, four hundred seventy-five thousand, six hundred".