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148437500 = 225919
BaseRepresentation
bin10001101100011…
…11100111111100
3101100022101222012
420312033213330
5301000000000
622421310352
73451461251
oct1066174774
9340271865
10148437500
1176875322
12418653b8
13249a2953
14159dd428
15d071735
hex8d8f9fc

148437500 has 60 divisors (see below), whose sum is σ = 341796840. Its totient is φ = 56250000.

The previous prime is 148437491. The next prime is 148437503. The reversal of 148437500 is 5734841.

148437500 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

148437500 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148437503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7812491 + ... + 7812509.

It is an arithmetic number, because the mean of its divisors is an integer number (5696614).

Almost surely, 2148437500 is an apocalyptic number.

148437500 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 148437500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170898420).

148437500 is an abundant number, since it is smaller than the sum of its proper divisors (193359340).

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

148437500 is an frugal number, since it uses more digits than its factorization.

148437500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 148437500 is about 12183.4929310112. The cubic root of 148437500 is about 529.4779480319.

The spelling of 148437500 in words is "one hundred forty-eight million, four hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 380 475 500 625 950 1250 1900 2375 2500 3125 4750 6250 9500 11875 12500 15625 23750 31250 47500 59375 62500 78125 118750 156250 237500 296875 312500 390625 593750 781250 1187500 1484375 1562500 1953125 2968750 3906250 5937500 7421875 7812500 14843750 29687500 37109375 74218750 148437500