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145320452088 = 233722937911243
BaseRepresentation
bin1000011101010111000…
…1100001111111111000
3111220002122001211221020
42013111301201333320
54340104013431323
6150432001342440
713333114314300
oct2072561417770
9456078054836
10145320452088
11566a2674589
12241b7637a20
131091bc2c7b6
1470680a8600
153ba7d76ae3
hex21d5c61ff8

145320452088 has 192 divisors, whose sum is σ = 438381072000. Its totient is φ = 39979070208.

The previous prime is 145320452087. The next prime is 145320452129. The reversal of 145320452088 is 880254023541.

It is a super-2 number, since 2×1453204520882 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145320452087) 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, 12919795 + ... + 12931037.

It is an arithmetic number, because the mean of its divisors is an integer number (2283234750).

Almost surely, 2145320452088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145320452088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219190536000).

145320452088 is an abundant number, since it is smaller than the sum of its proper divisors (293060619912).

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

145320452088 is a wasteful number, since it uses less digits than its factorization.

145320452088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11674 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 145320452088 in words is "one hundred forty-five billion, three hundred twenty million, four hundred fifty-two thousand, eighty-eight".