145272207654000 has 960 divisors, whose sum is σ = 615793689538560. Its totient is φ = 31178997964800.

The previous prime is 145272207653987. The next prime is 145272207654059. The reversal of 145272207654000 is 456702272541.

145272207654000 is a `hidden beast` number, since 1 + 4 + 527 + 2 + 2 + 0 + 76 + 54 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×145272207654000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 270253497 + ... + 270790503.

It is an arithmetic number, because the mean of its divisors is an integer number (641451759936).

Almost surely, 2^{145272207654000} is an apocalyptic number.

145272207654000 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 145272207654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307896844769280).

145272207654000 is an abundant number, since it is smaller than the sum of its proper divisors (470521481884560).

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

145272207654000 is a wasteful number, since it uses less digits than its factorization.

145272207654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537175 (or 537156 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 145272207654000 in words is "one hundred forty-five trillion, two hundred seventy-two billion, two hundred seven million, six hundred fifty-four thousand".