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153900152 = 237191091327
BaseRepresentation
bin10010010110001…
…01010001111000
3101201120221022122
421023011101320
5303344301102
623134340412
73546062330
oct1113052170
9351527278
10153900152
117996650a
124365a708
1325b661a3
14166220c0
15d7a00a2
hex92c5478

153900152 has 64 divisors (see below), whose sum is σ = 350592000. Its totient is φ = 61865856.

The previous prime is 153900127. The next prime is 153900169. The reversal of 153900152 is 251009351.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115313 + ... + 116639.

It is an arithmetic number, because the mean of its divisors is an integer number (5478000).

Almost surely, 2153900152 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 153900152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175296000).

153900152 is an abundant number, since it is smaller than the sum of its proper divisors (196691848).

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

153900152 is a wasteful number, since it uses less digits than its factorization.

153900152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 153900152 is about 12405.6500031236. The cubic root of 153900152 is about 535.8949727386.

The spelling of 153900152 in words is "one hundred fifty-three million, nine hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 109 133 152 218 266 436 532 763 872 1064 1327 1526 2071 2654 3052 4142 5308 6104 8284 9289 10616 14497 16568 18578 25213 28994 37156 50426 57988 74312 100852 115976 144643 176491 201704 289286 352982 578572 705964 1012501 1157144 1411928 2025002 2748217 4050004 5496434 8100008 10992868 19237519 21985736 38475038 76950076 153900152