145254752513280 has 1152 divisors, whose sum is σ = 524919999744000. Its totient is φ = 38032146432000.

The previous prime is 145254752513183. The next prime is 145254752513357. The reversal of 145254752513280 is 82315257452541.

145254752513280 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 5 + 4 + 7 + 525 + 1 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 215831727024 + ... + 215831727696.

It is an arithmetic number, because the mean of its divisors is an integer number (455659722000).

Almost surely, 2^{145254752513280} is an apocalyptic number.

145254752513280 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 145254752513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262459999872000).

145254752513280 is an abundant number, since it is smaller than the sum of its proper divisors (379665247230720).

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

145254752513280 is a wasteful number, since it uses less digits than its factorization.

145254752513280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 145254752513280 in words is "one hundred forty-five trillion, two hundred fifty-four billion, seven hundred fifty-two million, five hundred thirteen thousand, two hundred eighty".