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145649152 = 291122351
BaseRepresentation
bin10001010111001…
…10111000000000
3101011001202002001
420223212320000
5244241233102
622241433344
73415666045
oct1053467000
9334052061
10145649152
1175240400
124093b854
132423773c
14154b51cc
15cbc0487
hex8ae6e00

145649152 has 60 divisors (see below), whose sum is σ = 320010768. Its totient is φ = 66176000.

The previous prime is 145649113. The next prime is 145649159. The reversal of 145649152 is 251946541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145649159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60777 + ... + 63127.

Almost surely, 2145649152 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 145649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160005384).

145649152 is an abundant number, since it is smaller than the sum of its proper divisors (174361616).

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

145649152 is an equidigital number, since it uses as much as digits as its factorization.

145649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2364 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 145649152 is about 12068.5190475054. The cubic root of 145649152 is about 526.1416149223.

It can be divided in two parts, 14564 and 9152, that added together give a square (23716 = 1542).

The spelling of 145649152 in words is "one hundred forty-five million, six hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1408 1936 2351 2816 3872 4702 5632 7744 9404 15488 18808 25861 30976 37616 51722 61952 75232 103444 150464 206888 284471 300928 413776 568942 601856 827552 1137884 1203712 1655104 2275768 3310208 4551536 6620416 9103072 13240832 18206144 36412288 72824576 145649152