145822677000 has 1024 divisors, whose sum is σ = 623960064000. Its totient is φ = 27941760000.

The previous prime is 145822676963. The next prime is 145822677047. The reversal of 145822677000 is 776228541.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147146505 + ... + 147147495.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^145822677000 is an apocalyptic number.

145822677000 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 145822677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311980032000).

145822677000 is an abundant number, since it is smaller than the sum of its proper divisors (478137387000).

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

145822677000 is a wasteful number, since it uses less digits than its factorization.

145822677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 145822677000 in words is "one hundred forty-five billion, eight hundred twenty-two million, six hundred seventy-seven thousand".