145529610372000 has 2304 divisors, whose sum is σ = 586899948450816. Its totient is φ = 33948794880000.

The previous prime is 145529610371939. The next prime is 145529610372043. The reversal of 145529610372000 is 273016925541.

145529610372000 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 9 + 610 + 3 + 7 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×145529610372000² (a number of 29 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 266050475727 + ... + 266050476273.

It is an arithmetic number, because the mean of its divisors is an integer number (254730880404).

Almost surely, 2^{145529610372000} is an apocalyptic number.

145529610372000 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 145529610372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293449974225408).

145529610372000 is an abundant number, since it is smaller than the sum of its proper divisors (441370338078816).

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

145529610372000 is a wasteful number, since it uses less digits than its factorization.

145529610372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

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

The spelling of 145529610372000 in words is "one hundred forty-five trillion, five hundred twenty-nine billion, six hundred ten million, three hundred seventy-two thousand".