145764356238720 has 384 divisors, whose sum is σ = 520880648652000. Its totient is φ = 37517053722624.

The previous prime is 145764356238701. The next prime is 145764356238727. The reversal of 145764356238720 is 27832653467541.

145764356238720 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 6 + 43 + 562 + 3 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145764356238727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483764271 + ... + 484065489.

Almost surely, 2^{145764356238720} is an apocalyptic number.

145764356238720 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 145764356238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260440324326000).

145764356238720 is an abundant number, since it is smaller than the sum of its proper divisors (375116292413280).

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

145764356238720 is a wasteful number, since it uses less digits than its factorization.

145764356238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304170 (or 304155 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 145764356238720 in words is "one hundred forty-five trillion, seven hundred sixty-four billion, three hundred fifty-six million, two hundred thirty-eight thousand, seven hundred twenty".