145861632000 has 2016 divisors, whose sum is σ = 681771336480. Its totient is φ = 29727129600.

The previous prime is 145861631989. The next prime is 145861632029. The reversal of 145861632000 is 236168541.

It is a happy number.

145861632000 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 616 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7676927991 + ... + 7676928009.

Almost surely, 2^145861632000 is an apocalyptic number.

145861632000 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 145861632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340885668240).

145861632000 is an abundant number, since it is smaller than the sum of its proper divisors (535909704480).

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

145861632000 is a wasteful number, since it uses less digits than its factorization.

145861632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 145861632000 in words is "one hundred forty-five billion, eight hundred sixty-one million, six hundred thirty-two thousand".