145371851520 has 1152 divisors, whose sum is σ = 589064448000. Its totient is φ = 30433148928.

The previous prime is 145371851491. The next prime is 145371851549. The reversal of 145371851520 is 25158173541.

It is an interprime number because it is at equal distance from previous prime (145371851491) and next prime (145371851549).

It is a super-2 number, since 2×145371851520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 925935282 + ... + 925935438.

Almost surely, 2^145371851520 is an apocalyptic number.

145371851520 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 145371851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294532224000).

145371851520 is an abundant number, since it is smaller than the sum of its proper divisors (443692596480).

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

145371851520 is a wasteful number, since it uses less digits than its factorization.

145371851520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 42.

The spelling of 145371851520 in words is "one hundred forty-five billion, three hundred seventy-one million, eight hundred fifty-one thousand, five hundred twenty".