145420952533920 has 384 divisors, whose sum is σ = 581951023718400. Its totient is φ = 33223805531136.

The previous prime is 145420952533877. The next prime is 145420952533957. The reversal of 145420952533920 is 29335259024541.

145420952533920 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 20 + 9 + 525 + 3 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×145420952533920² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64789497 + ... + 66996423.

It is an arithmetic number, because the mean of its divisors is an integer number (1515497457600).

Almost surely, 2^{145420952533920} is an apocalyptic number.

145420952533920 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 145420952533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290975511859200).

145420952533920 is an abundant number, since it is smaller than the sum of its proper divisors (436530071184480).

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

145420952533920 is a wasteful number, since it uses less digits than its factorization.

145420952533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209137 (or 2209123 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 145420952533920 in words is "one hundred forty-five trillion, four hundred twenty billion, nine hundred fifty-two million, five hundred thirty-three thousand, nine hundred twenty".