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148811040 = 25335721937
BaseRepresentation
bin10001101111010…
…10110100100000
3101101000101101000
420313222310200
5301043423130
622433312000
73454605300
oct1067526440
9341011330
10148811040
1176aaaa34
1241a05600
1324aa3991
1415a99600
15d0e7260
hex8dead20

148811040 has 576 divisors, whose sum is σ = 654998400. Its totient is φ = 31352832.

The previous prime is 148811029. The next prime is 148811053. The reversal of 148811040 is 40118841.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 148810995 and 148811013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021902 + ... + 4021938.

It is an arithmetic number, because the mean of its divisors is an integer number (1137150).

Almost surely, 2148811040 is an apocalyptic number.

148811040 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 148811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327499200).

148811040 is an abundant number, since it is smaller than the sum of its proper divisors (506187360).

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

148811040 is a wasteful number, since it uses less digits than its factorization.

148811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 148811040 is about 12198.8130570150. The cubic root of 148811040 is about 529.9217162174.

Adding to 148811040 its reverse (40118841), we get a palindrome (188929881).

The spelling of 148811040 in words is "one hundred forty-eight million, eight hundred eleven thousand, forty".