145701024 has 96 divisors (see below), whose sum is σ = 440205696. Its totient is φ = 41333760.

The previous prime is 145701011. The next prime is 145701037. The reversal of 145701024 is 420107541.

It is an interprime number because it is at equal distance from previous prime (145701011) and next prime (145701037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145700985 and 145701003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104814 + ... + 106194.

It is an arithmetic number, because the mean of its divisors is an integer number (4585476).

Almost surely, 2^145701024 is an apocalyptic number.

145701024 is a gapful number since it is divisible by the number (14) 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 145701024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220102848).

145701024 is an abundant number, since it is smaller than the sum of its proper divisors (294504672).

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

145701024 is a wasteful number, since it uses less digits than its factorization.

145701024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 145701024 is about 12070.6679185536. The cubic root of 145701024 is about 526.2040681490.

Adding to 145701024 its reverse (420107541), we get a palindrome (565808565).

The spelling of 145701024 in words is "one hundred forty-five million, seven hundred one thousand, twenty-four".