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149352000000 = 2935672127
BaseRepresentation
bin1000101100011000010…
…0101010101000000000
3112021111121010200222120
42023012010222220000
54421333103000000
6152340015404240
713535040024300
oct2130604525000
9467447120876
10149352000000
1158381346165
1224b41823680
13111122488c8
14732b6b1600
153d41c7e6a0
hex22c612aa00

149352000000 has 840 divisors, whose sum is σ = 583102536192. Its totient is φ = 33868800000.

The previous prime is 149351999983. The next prime is 149352000011. The reversal of 149352000000 is 253941.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1175999937 + ... + 1176000063.

Almost surely, 2149352000000 is an apocalyptic number.

149352000000 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 149352000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291551268096).

149352000000 is an abundant number, since it is smaller than the sum of its proper divisors (433750536192).

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

149352000000 is an frugal number, since it uses more digits than its factorization.

149352000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 149352000000 its reverse (253941), we get a palindrome (149352253941).

The spelling of 149352000000 in words is "one hundred forty-nine billion, three hundred fifty-two million", and thus it is an aban number.