145297771200 has 252 divisors, whose sum is σ = 538876969488. Its totient is φ = 37061376000.

The previous prime is 145297771181. The next prime is 145297771237. The reversal of 145297771200 is 2177792541.

145297771200 is a `hidden beast` number, since 1 + 452 + 9 + 7 + 77 + 120 + 0 = 666.

It is a super-2 number, since 2×145297771200² (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 35 ways as a sum of consecutive naturals, for example, 111850 + ... + 550550.

Almost surely, 2^145297771200 is an apocalyptic number.

145297771200 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 145297771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269438484744).

145297771200 is an abundant number, since it is smaller than the sum of its proper divisors (393579198288).

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

145297771200 is a wasteful number, since it uses less digits than its factorization.

145297771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438752 (or 438734 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 145297771200 in words is "one hundred forty-five billion, two hundred ninety-seven million, seven hundred seventy-one thousand, two hundred".