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145657530720 = 2534513273911
BaseRepresentation
bin1000011110100111011…
…1011000100101100000
3111220222010100012220000
42013221313120211200
54341301311440340
6150525242220000
713344346403652
oct2075167304540
9456863305800
10145657530720
1156855973769
12242904b4600
1310973a10500
14709ab706d2
153bc775bd30
hex21e9dd8960

145657530720 has 720 divisors, whose sum is σ = 564878204352. Its totient is φ = 35324190720.

The previous prime is 145657530719. The next prime is 145657530721. The reversal of 145657530720 is 27035756541.

It is a happy number.

145657530720 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 575 + 3 + 0 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145657530719) and next prime (145657530721).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1456575307202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145657530721) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159887065 + ... + 159887975.

Almost surely, 2145657530720 is an apocalyptic number.

145657530720 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 145657530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282439102176).

145657530720 is an abundant number, since it is smaller than the sum of its proper divisors (419220673632).

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

145657530720 is a wasteful number, since it uses less digits than its factorization.

145657530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 145657530720 in words is "one hundred forty-five billion, six hundred fifty-seven million, five hundred thirty thousand, seven hundred twenty".